library(MASS)
library(psy)
## Warning: package 'psy' was built under R version 3.3.2
library(lavaan)
## Warning: package 'lavaan' was built under R version 3.3.2
## This is lavaan 0.5-22
## lavaan is BETA software! Please report any bugs.
library(car)
## Warning: package 'car' was built under R version 3.3.2
library(semPlot)
## Warning: package 'semPlot' was built under R version 3.3.2
rm(list = ls()) ## clears global environment
cat("\014")  ## clears screen

setwd("C:/users/evazquez/Downloads")
MainStudy<-read.csv("Main Study1.csv", skip=1, header=F)  # reads pre-test 1 file and creates a data frame
NamesandHeaders<-read.csv("Main Study1.csv")  # assigns headers and names to data frame
names(MainStudy)<-names(NamesandHeaders)
summary(MainStudy)
##        X                        V6            X5              X6     
##  Min.   :   1.0   162.233.200.114:  2   Min.   :1.000   Min.   :1.0  
##  1st Qu.: 415.5   172.13.104.200 :  2   1st Qu.:5.000   1st Qu.:5.0  
##  Median : 936.0   174.57.22.159  :  2   Median :5.000   Median :6.0  
##  Mean   :1121.0   192.133.84.5   :  2   Mean   :5.755   Mean   :5.9  
##  3rd Qu.:1835.0   209.118.101.4  :  2   3rd Qu.:7.000   3rd Qu.:7.0  
##  Max.   :2612.0   24.254.195.199 :  2   Max.   :9.000   Max.   :9.0  
##                   (Other)        :547                                
##        X7            X8              X9             X10       
##  Min.   :1.0   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:5.0   1st Qu.:5.000   1st Qu.:5.000   1st Qu.:1.000  
##  Median :5.0   Median :5.000   Median :5.000   Median :3.000  
##  Mean   :5.2   Mean   :5.717   Mean   :5.705   Mean   :3.157  
##  3rd Qu.:6.0   3rd Qu.:7.000   3rd Qu.:7.000   3rd Qu.:5.000  
##  Max.   :9.0   Max.   :9.000   Max.   :9.000   Max.   :9.000  
##                                                               
##       X11            X12             X13             X14       
##  Min.   :1.00   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:1.00   1st Qu.:1.000   1st Qu.:2.000   1st Qu.:2.000  
##  Median :2.00   Median :2.000   Median :5.000   Median :5.000  
##  Mean   :3.05   Mean   :2.964   Mean   :4.048   Mean   :4.349  
##  3rd Qu.:5.00   3rd Qu.:5.000   3rd Qu.:6.000   3rd Qu.:6.000  
##  Max.   :9.00   Max.   :9.000   Max.   :9.000   Max.   :9.000  
##                                                                
##       X15            Group               SEC            SMP     
##  Min.   :1.000   Min.   :1.000   Credence  :187   Facebook:189  
##  1st Qu.:2.000   1st Qu.:3.000   Experience:159   Twitter :277  
##  Median :4.000   Median :6.000   Search    :213   YouTube : 93  
##  Mean   :4.039   Mean   :5.156                                  
##  3rd Qu.:6.000   3rd Qu.:7.000                                  
##  Max.   :9.000   Max.   :9.000                                  
##                                                                 
##    FreqUseSMP         Risk         UsefulSMP       BrandFam    
##  Min.   :1.000   Min.   :1.000   Min.   :1.00   Min.   :1.000  
##  1st Qu.:2.000   1st Qu.:2.000   1st Qu.:4.00   1st Qu.:1.000  
##  Median :5.000   Median :4.000   Median :6.00   Median :1.000  
##  Mean   :4.349   Mean   :4.055   Mean   :5.39   Mean   :1.429  
##  3rd Qu.:6.000   3rd Qu.:6.000   3rd Qu.:7.00   3rd Qu.:2.000  
##  Max.   :9.000   Max.   :9.000   Max.   :9.00   Max.   :8.000  
##                                                                
##   PriceQuality   TextVideo      PeersExperts   FreqPurchProduct
##  Min.   :1.0   Min.   :1.000   Min.   :1.000   Min.   :1.000   
##  1st Qu.:5.0   1st Qu.:2.000   1st Qu.:3.000   1st Qu.:3.000   
##  Median :6.0   Median :5.000   Median :6.000   Median :5.000   
##  Mean   :5.9   Mean   :4.893   Mean   :5.549   Mean   :4.927   
##  3rd Qu.:7.0   3rd Qu.:7.000   3rd Qu.:8.000   3rd Qu.:7.000   
##  Max.   :9.0   Max.   :9.000   Max.   :9.000   Max.   :9.000   
##                                                                
##  ProductImportance AnnualExpenses     FreqPurchProductOnline
##  Min.   :1.000     Min.   :  0.0000   Min.   :1.000         
##  1st Qu.:5.000     1st Qu.:  0.7738   1st Qu.:3.000         
##  Median :7.000     Median :  7.5000   Median :5.000         
##  Mean   :6.095     Mean   : 14.5872   Mean   :4.671         
##  3rd Qu.:8.000     3rd Qu.: 16.6667   3rd Qu.:7.000         
##  Max.   :9.000     Max.   :333.3333   Max.   :9.000         
##                                                             
##    t1Stimuli        t2Stimuli       PageSubmitStimuli ClicksStimuli   
##  Min.   : 0.963   Min.   :  1.048   Min.   :30.68     Min.   : 1.000  
##  1st Qu.: 5.863   1st Qu.:  6.556   1st Qu.:48.83     1st Qu.: 1.000  
##  Median : 9.530   Median : 10.947   Median :63.35     Median : 1.000  
##  Mean   : 9.795   Mean   : 18.958   Mean   :62.31     Mean   : 1.488  
##  3rd Qu.:12.810   3rd Qu.: 17.017   3rd Qu.:73.10     3rd Qu.: 2.000  
##  Max.   :24.193   Max.   :244.500   Max.   :98.63     Max.   :24.000  
##                                                                       
##       Age           Gender        Income        Education    
##  Min.   :18.00   Female:284   Min.   :1.000   Min.   : 5.00  
##  1st Qu.:24.00   Male  :275   1st Qu.:3.000   1st Qu.: 9.00  
##  Median :30.00                Median :4.000   Median :11.00  
##  Mean   :31.82                Mean   :4.326   Mean   :10.57  
##  3rd Qu.:37.00                3rd Qu.:6.000   3rd Qu.:12.00  
##  Max.   :67.00                Max.   :9.000   Max.   :15.00  
##                                                              
##                         RE        WhyQ           WhyP        
##  African American / Black: 64   Mode:logical   Mode:logical  
##  Asian American          : 39   NA's:559       NA's:559      
##  Caucasian / White       :402                                
##  Hispanic / Latino       : 41                                
##  Native American         :  3                                
##  Other                   : 10                                
##                                                              
##    WhyW                      V6.1         t12_3               t7_2        
##  Mode:logical   162.233.200.114:  2   Min.   :   5.357   Min.   :  3.158  
##  NA's:559       172.13.104.200 :  2   1st Qu.:   8.659   1st Qu.: 14.074  
##                 174.57.22.159  :  2   Median :  10.681   Median : 19.103  
##                 192.133.84.5   :  2   Mean   :  15.311   Mean   : 20.927  
##                 209.118.101.4  :  2   3rd Qu.:  13.041   3rd Qu.: 25.304  
##                 24.254.195.199 :  2   Max.   :1622.251   Max.   :145.881  
##                 (Other)        :547                                       
##      copy5       copy6       copy7       copy8       copy9       copy10 
##  Min.   :0   Min.   :0   Min.   :0   Min.   :0   Min.   :0   Min.   :0  
##  1st Qu.:0   1st Qu.:0   1st Qu.:0   1st Qu.:0   1st Qu.:0   1st Qu.:0  
##  Median :0   Median :0   Median :0   Median :0   Median :0   Median :0  
##  Mean   :0   Mean   :0   Mean   :0   Mean   :0   Mean   :0   Mean   :0  
##  3rd Qu.:0   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0  
##  Max.   :0   Max.   :0   Max.   :0   Max.   :0   Max.   :0   Max.   :0  
##                                                                         
##      copy11      copy12      copy13      copy14      copy15     copyt8_3
##  Min.   :0   Min.   :0   Min.   :0   Min.   :0   Min.   :0   Min.   :0  
##  1st Qu.:0   1st Qu.:0   1st Qu.:0   1st Qu.:0   1st Qu.:0   1st Qu.:0  
##  Median :0   Median :0   Median :0   Median :0   Median :0   Median :0  
##  Mean   :0   Mean   :0   Mean   :0   Mean   :0   Mean   :0   Mean   :0  
##  3rd Qu.:0   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0  
##  Max.   :0   Max.   :0   Max.   :0   Max.   :0   Max.   :0   Max.   :0  
##                                                                         
##    Threshold                    X...V1    LocationLatitude
##  Min.   : 94.42   R_007qxXfK2MGkAOp:  1   Min.   :14.55   
##  1st Qu.:151.46   R_00wCAplOFL5UsN7:  1   1st Qu.:33.75   
##  Median :186.27   R_01AbyHf6nvFjGIt:  1   Median :38.40   
##  Mean   :196.52   R_02FG1WiUYaRg9Dv:  1   Mean   :37.52   
##  3rd Qu.:231.71   R_02LiubfeJYfWugd:  1   3rd Qu.:41.49   
##  Max.   :561.13   R_03AwpbV0Mh4RDBX:  1   Max.   :61.32   
##                   (Other)          :553                   
##  LocationLongitude    Quality         PurchInt          WOM       
##  Min.   :-157.82   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.: -96.99   1st Qu.:5.000   1st Qu.:1.333   1st Qu.:2.000  
##  Median : -86.46   Median :5.600   Median :2.333   Median :4.333  
##  Mean   : -89.00   Mean   :5.655   Mean   :3.057   Mean   :4.145  
##  3rd Qu.: -79.72   3rd Qu.:6.600   3rd Qu.:4.500   3rd Qu.:5.833  
##  Max.   : 121.04   Max.   :9.000   Max.   :9.000   Max.   :9.000  
##                                                                   
##    Alignment        GenderVal      PrevExpwithSMP         State    
##  Min.   :0.0000   Min.   :0.0000   Min.   :1.000   California: 58  
##  1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:3.500   Texas     : 44  
##  Median :0.0000   Median :0.0000   Median :5.000   New York  : 33  
##  Mean   :0.4919   Mean   :0.4919   Mean   :4.869   Illinois  : 32  
##  3rd Qu.:1.0000   3rd Qu.:1.0000   3rd Qu.:6.500   Florida   : 30  
##  Max.   :1.0000   Max.   :1.0000   Max.   :9.000   Ohio      : 24  
##                                                    (Other)   :338  
##            City        StateID        CityID         Frmwrk1     
##  Glendale    :  7   5      : 58   Min.   :  1.0   Min.   :1.000  
##  New York    :  7   44     : 44   1st Qu.: 77.0   1st Qu.:4.000  
##  Unspecified :  7   33     : 33   Median :152.0   Median :6.000  
##  Englewood   :  6   14     : 32   Mean   :165.3   Mean   :5.728  
##  Fort Worth  :  6   10     : 30   3rd Qu.:252.0   3rd Qu.:8.000  
##  Jacksonville:  6   36     : 24   Max.   :378.0   Max.   :9.000  
##  (Other)     :520   (Other):338                                  
##     Frmwrk2         Frmwrk3           IR1             IR2      
##  Min.   :1.000   Min.   :1.000   Min.   :0.000   Min.   :0.00  
##  1st Qu.:3.000   1st Qu.:3.000   1st Qu.:0.000   1st Qu.:0.00  
##  Median :4.000   Median :4.000   Median :0.000   Median :0.00  
##  Mean   :4.494   Mean   :4.249   Mean   :2.517   Mean   :1.47  
##  3rd Qu.:7.000   3rd Qu.:6.000   3rd Qu.:7.000   3rd Qu.:3.00  
##  Max.   :9.000   Max.   :9.000   Max.   :9.000   Max.   :9.00  
##                                                                
##       IR3             IR4             IR5             IR6       
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :1.814   Mean   :1.943   Mean   :1.066   Mean   :1.494  
##  3rd Qu.:4.000   3rd Qu.:5.000   3rd Qu.:2.000   3rd Qu.:3.000  
##  Max.   :9.000   Max.   :9.000   Max.   :9.000   Max.   :9.000  
##                                                                 
##       SP1             SP2             SP3           SP4       
##  Min.   :0.000   Min.   :0.000   Min.   :0.0   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.0   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.0   Median :0.000  
##  Mean   :1.989   Mean   :1.701   Mean   :1.8   Mean   :1.682  
##  3rd Qu.:4.000   3rd Qu.:3.000   3rd Qu.:3.0   3rd Qu.:3.000  
##  Max.   :9.000   Max.   :9.000   Max.   :9.0   Max.   :9.000  
##                                                               
##       SP5             SP6             SP7             SP8       
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :1.415   Mean   :1.476   Mean   :1.791   Mean   :1.465  
##  3rd Qu.:2.000   3rd Qu.:2.000   3rd Qu.:3.000   3rd Qu.:2.000  
##  Max.   :9.000   Max.   :9.000   Max.   :9.000   Max.   :9.000  
##                                                                 
##       SP9             SP10            SP11            SP12       
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.0000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.0000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.0000  
##  Mean   :1.556   Mean   :1.413   Mean   :0.907   Mean   :0.9732  
##  3rd Qu.:2.000   3rd Qu.:1.500   3rd Qu.:1.000   3rd Qu.:1.0000  
##  Max.   :9.000   Max.   :9.000   Max.   :9.000   Max.   :9.0000  
##                                                                  
##       TS1             TS2            TS3            TS4       
##  Min.   :0.000   Min.   :0.00   Min.   :0.00   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.00   1st Qu.:0.00   1st Qu.:0.000  
##  Median :0.000   Median :0.00   Median :0.00   Median :0.000  
##  Mean   :2.671   Mean   :1.64   Mean   :1.64   Mean   :2.667  
##  3rd Qu.:7.000   3rd Qu.:3.00   3rd Qu.:3.00   3rd Qu.:7.000  
##  Max.   :9.000   Max.   :9.00   Max.   :9.00   Max.   :9.000  
##                                                               
##       TS5             TS6              TS7             TS8       
##  Min.   :0.000   Min.   :0.0000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.0000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.0000   Median :0.000   Median :0.000  
##  Mean   :1.349   Mean   :0.9803   Mean   :2.705   Mean   :1.336  
##  3rd Qu.:2.000   3rd Qu.:1.0000   3rd Qu.:7.000   3rd Qu.:2.000  
##  Max.   :9.000   Max.   :9.0000   Max.   :9.000   Max.   :9.000  
##                                                                  
##       TS9        
##  Min.   :0.0000  
##  1st Qu.:0.0000  
##  Median :0.0000  
##  Mean   :0.8819  
##  3rd Qu.:1.0000  
##  Max.   :9.0000  
## 
MainStudySearch<-subset(MainStudy,MainStudy$Group==7|MainStudy$Group==9)
MainStudyExperience<-subset(MainStudy,MainStudy$Group==4|MainStudy$Group==6)
## MainStudyExperience$Quality<-ifelse(MainStudyExperience$SMP=="Facebook",MainStudyExperience$Quality*1.12,MainStudyExperience$Quality) ## Adjustment due to foreign language exposure
MainStudyCredence<-subset(MainStudy,MainStudy$Group==1|MainStudy$Group==3)

Age<-t.test(Age~SMP,data=MainStudySearch)
Gender<-chisq.test(MainStudySearch$SMP,MainStudySearch$Gender)
Income<-t.test(Income~SMP,data=MainStudySearch)
Education<-t.test(Education~SMP,data=MainStudySearch)
RE<-chisq.test(MainStudySearch$SMP,MainStudySearch$RE,simulate.p.value=T)
StimuliTime<-t.test(PageSubmitStimuli~SMP,data=MainStudySearch,mu=1)
FreqUseSMP<-t.test(FreqUseSMP~SMP,data=MainStudySearch)
Risk<-t.test(Risk~SMP,data=MainStudySearch)
UsefulSMP<-t.test(UsefulSMP~SMP,data=MainStudySearch)
BrandFam<-t.test(BrandFam~SMP,data=MainStudySearch)
PriceQuality<-t.test(PriceQuality~SMP,data=MainStudySearch)
TextVideo<-t.test(TextVideo~SMP,data=MainStudySearch)
PeersExperts<-t.test(PeersExperts~SMP,data=MainStudySearch)
FreqPurchProduct<-t.test(FreqPurchProduct~SMP,data=MainStudySearch)
ProductImportance<-t.test(ProductImportance~SMP,data=MainStudySearch)
AnnualExpenses<-t.test(AnnualExpenses~SMP,data=MainStudySearch)
FreqPurchProductOnline<-t.test(FreqPurchProductOnline~SMP,data=MainStudySearch)
t1Stimuli<-t.test(t1Stimuli~SMP,data=MainStudySearch)
t2Stimuli<-t.test(t2Stimuli~SMP,data=MainStudySearch)
PageSubmitStimuli<-t.test(PageSubmitStimuli~SMP,data=MainStudySearch)
ClicksStimuli<-t.test(ClicksStimuli~SMP,data=MainStudySearch)
Threshold<-t.test(Threshold~SMP,data=MainStudySearch)
Longitude<-t.test(LocationLongitude~SMP,data=MainStudySearch)
Latitude<-t.test(LocationLatitude~SMP,data=MainStudySearch)
PrevExpwithSMP<-t.test(PrevExpwithSMP~SMP,data=MainStudySearch)
TS1<-t.test(TS1~SMP,data=MainStudySearch)
TS2<-t.test(TS2~SMP,data=MainStudySearch)
TS3<-t.test(TS3~SMP,data=MainStudySearch)
TS4<-t.test(TS4~SMP,data=MainStudySearch)
TS5<-t.test(TS5~SMP,data=MainStudySearch)
TS6<-t.test(TS6~SMP,data=MainStudySearch)
TS7<-t.test(TS7~SMP,data=MainStudySearch)
TS8<-t.test(TS8~SMP,data=MainStudySearch)
TS9<-t.test(TS9~SMP,data=MainStudySearch)
Frmwrk1<-t.test(Frmwrk1~SMP,data=MainStudySearch)
Frmwrk2<-t.test(Frmwrk2~SMP,data=MainStudySearch)
Frmwrk3<-t.test(Frmwrk3~SMP,data=MainStudySearch)
controls<-t(data.frame(Age$p.value,Gender$p.value,Income$p.value,Education$p.value,RE$p.value,StimuliTime$p.value,FreqUseSMP$p.value,Risk$p.value,UsefulSMP$p.value,BrandFam$p.value,PriceQuality$p.value,TextVideo$p.value,PeersExperts$p.value,FreqPurchProduct$p.value,ProductImportance$p.value,AnnualExpenses$p.value,FreqPurchProductOnline$p.value,t1Stimuli$p.value,t2Stimuli$p.value,PageSubmitStimuli$p.value,ClicksStimuli$p.value,Threshold$p.value,Longitude$p.value,Latitude$p.value,PrevExpwithSMP$p.value,
                       TS1$p.value,TS2$p.value,TS3$p.value,TS4$p.value,TS5$p.value,TS6$p.value,
                       TS7$p.value,TS8$p.value,TS9$p.value,
                       Frmwrk1$p.value,Frmwrk2$p.value,Frmwrk3$p.value))
subset(controls,controls<0.1)
##                                        [,1]
## FreqUseSMP.p.value             9.422638e-05
## UsefulSMP.p.value              4.821876e-02
## FreqPurchProductOnline.p.value 8.654736e-02
## ClicksStimuli.p.value          5.339581e-02
## PrevExpwithSMP.p.value         8.860254e-04
## TS1.p.value                    2.690715e-02
## TS4.p.value                    6.606772e-02
leveneTest(Quality~SMP,data=MainStudySearch,center=mean)
## Levene's Test for Homogeneity of Variance (center = mean)
##        Df F value Pr(>F)
## group   1  1.1447 0.2859
##       211
t.test(Quality~SMP,data=MainStudySearch,var.equal=T) ## Hypothesis 1
## 
##  Two Sample t-test
## 
## data:  Quality by SMP
## t = -3.631, df = 211, p-value = 0.0003544
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -1.089402 -0.322743
## sample estimates:
## mean in group Facebook  mean in group Twitter 
##               5.503636               6.209709
wilcox.test(Quality~SMP,data=MainStudySearch)
## 
##  Wilcoxon rank sum test with continuity correction
## 
## data:  Quality by SMP
## W = 4321.5, p-value = 0.002749
## alternative hypothesis: true location shift is not equal to 0
Model<-'FreqUseSMP ~ Alignment
        TS1 ~ Alignment
         Quality ~ FreqUseSMP + Alignment + FreqPurchProductOnline+ClicksStimuli+TS1+Frmwrk3*Frmwrk1
PurchInt ~ Quality+Alignment+FreqUseSMP + FreqPurchProductOnline+ClicksStimuli+TS1+Frmwrk3*Frmwrk1
WOM ~ Quality+Alignment+FreqUseSMP+FreqPurchProductOnline+ClicksStimuli+TS1+Frmwrk3*Frmwrk1'
fit<-sem(Model,data=MainStudySearch)
## Found more than one class "Model" in cache; using the first, from namespace 'lavaan'
fitMeasures(fit)
##                npar                fmin               chisq 
##              26.000               0.052              22.034 
##                  df              pvalue      baseline.chisq 
##               9.000               0.009             353.851 
##         baseline.df     baseline.pvalue                 cfi 
##              30.000               0.000               0.960 
##                 tli                nnfi                 rfi 
##               0.866               0.866               0.792 
##                 nfi                pnfi                 ifi 
##               0.938               0.281               0.962 
##                 rni                logl   unrestricted.logl 
##               0.960           -3405.421           -3394.404 
##                 aic                 bic              ntotal 
##            6862.842            6950.236             213.000 
##                bic2               rmsea      rmsea.ci.lower 
##            6867.850               0.082               0.039 
##      rmsea.ci.upper        rmsea.pvalue                 rmr 
##               0.127               0.099               0.158 
##          rmr_nomean                srmr        srmr_bentler 
##               0.158               0.046               0.046 
## srmr_bentler_nomean         srmr_bollen  srmr_bollen_nomean 
##               0.046               0.046               0.046 
##          srmr_mplus   srmr_mplus_nomean               cn_05 
##               0.046               0.046             164.554 
##               cn_01                 gfi                agfi 
##             210.443               0.960               0.798 
##                pgfi                 mfi                ecvi 
##               0.192               0.970               0.348
summary(fit,standardized=T,fit.measures=T,rsq=T)
## lavaan (0.5-22) converged normally after  43 iterations
## 
##   Number of observations                           213
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic               22.034
##   Degrees of freedom                                 9
##   P-value (Chi-square)                           0.009
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic              353.851
##   Degrees of freedom                                30
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.960
##   Tucker-Lewis Index (TLI)                       0.866
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)              -3405.421
##   Loglikelihood unrestricted model (H1)      -3394.404
## 
##   Number of free parameters                         26
##   Akaike (AIC)                                6862.842
##   Bayesian (BIC)                              6950.236
##   Sample-size adjusted Bayesian (BIC)         6867.850
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.082
##   90 Percent Confidence Interval          0.039  0.127
##   P-value RMSEA <= 0.05                          0.099
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.046
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   FreqUseSMP ~                                                          
##     Algnmnt          -1.193    0.297   -4.019    0.000   -1.193   -0.265
##   TS1 ~                                                                 
##     Algnmnt           0.471    0.211    2.226    0.026    0.471    0.151
##   Quality ~                                                             
##     FrqUSMP           0.089    0.044    2.027    0.043    0.089    0.135
##     Algnmnt           0.741    0.202    3.667    0.000    0.741    0.251
##     FrqPrPO          -0.008    0.049   -0.163    0.870   -0.008   -0.011
##     ClcksSt           0.026    0.086    0.298    0.766    0.026    0.020
##     TS1               0.133    0.062    2.151    0.031    0.133    0.140
##     Frmwrk1 (Frm3)   -0.092    0.030   -3.056    0.002   -0.092   -0.145
##   PurchInt ~                                                            
##     Quality           0.610    0.081    7.493    0.000    0.610    0.454
##     Algnmnt           0.229    0.249    0.920    0.358    0.229    0.058
##     FrqUSMP           0.172    0.053    3.244    0.001    0.172    0.195
##     FrqPrPO           0.118    0.059    2.006    0.045    0.118    0.117
##     ClcksSt          -0.024    0.103   -0.228    0.819   -0.024   -0.013
##     TS1              -0.124    0.075   -1.667    0.096   -0.124   -0.098
##     Frmwrk1 (Frm3)   -0.092    0.030   -3.056    0.002   -0.092   -0.107
##   WOM ~                                                                 
##     Quality           0.817    0.081   10.151    0.000    0.817    0.551
##     Algnmnt           0.709    0.247    2.878    0.004    0.709    0.162
##     FrqUSMP           0.190    0.052    3.614    0.000    0.190    0.195
##     FrqPrPO          -0.071    0.058   -1.220    0.222   -0.071   -0.064
##     ClcksSt           0.029    0.102    0.287    0.774    0.029    0.015
##     TS1              -0.004    0.074   -0.051    0.960   -0.004   -0.003
##     Frmwrk1 (Frm3)   -0.092    0.030   -3.056    0.002   -0.092   -0.098
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##  .PurchInt ~~                                                           
##    .WOM               1.626    0.217    7.478    0.000    1.626    0.597
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .FreqUseSMP        4.688    0.454   10.320    0.000    4.688    0.930
##    .TS1               2.377    0.230   10.320    0.000    2.377    0.977
##    .Quality           1.924    0.186   10.320    0.000    1.924    0.885
##    .PurchInt          2.757    0.267   10.320    0.000    2.757    0.701
##    .WOM               2.695    0.261   10.320    0.000    2.695    0.564
## 
## R-Square:
##                    Estimate
##     FreqUseSMP        0.070
##     TS1               0.023
##     Quality           0.115
##     PurchInt          0.299
##     WOM               0.436
coef(fit)
##            FreqUseSMP~Alignment                   TS1~Alignment 
##                          -1.193                           0.471 
##              Quality~FreqUseSMP               Quality~Alignment 
##                           0.089                           0.741 
##  Quality~FreqPurchProductOnline           Quality~ClicksStimuli 
##                          -0.008                           0.026 
##                     Quality~TS1                         Frmwrk3 
##                           0.133                          -0.092 
##                PurchInt~Quality              PurchInt~Alignment 
##                           0.610                           0.229 
##             PurchInt~FreqUseSMP PurchInt~FreqPurchProductOnline 
##                           0.172                           0.118 
##          PurchInt~ClicksStimuli                    PurchInt~TS1 
##                          -0.024                          -0.124 
##                         Frmwrk3                     WOM~Quality 
##                          -0.092                           0.817 
##                   WOM~Alignment                  WOM~FreqUseSMP 
##                           0.709                           0.190 
##      WOM~FreqPurchProductOnline               WOM~ClicksStimuli 
##                          -0.071                           0.029 
##                         WOM~TS1                         Frmwrk3 
##                          -0.004                          -0.092 
##          FreqUseSMP~~FreqUseSMP                        TS1~~TS1 
##                           4.688                           2.377 
##                Quality~~Quality              PurchInt~~PurchInt 
##                           1.924                           2.757 
##                        WOM~~WOM                   PurchInt~~WOM 
##                           2.695                           1.626
standardizedSolution(fit)
##                       lhs op                    rhs est.std    se      z
## 1              FreqUseSMP  ~              Alignment  -0.265 0.063 -4.244
## 2                     TS1  ~              Alignment   0.151 0.067  2.265
## 3                 Quality  ~             FreqUseSMP   0.135 0.066  2.042
## 4                 Quality  ~              Alignment   0.251 0.066  3.825
## 5                 Quality  ~ FreqPurchProductOnline  -0.011 0.065 -0.163
## 6                 Quality  ~          ClicksStimuli   0.020 0.065  0.298
## 7                 Quality  ~                    TS1   0.140 0.065  2.170
## 8                 Quality  ~                Frmwrk1  -0.145 0.047 -3.087
## 9                PurchInt  ~                Quality   0.454 0.055  8.295
## 10               PurchInt  ~              Alignment   0.058 0.063  0.922
## 11               PurchInt  ~             FreqUseSMP   0.195 0.059  3.281
## 12               PurchInt  ~ FreqPurchProductOnline   0.117 0.058  2.024
## 13               PurchInt  ~          ClicksStimuli  -0.013 0.058 -0.228
## 14               PurchInt  ~                    TS1  -0.098 0.058 -1.671
## 15               PurchInt  ~                Frmwrk1  -0.107 0.035 -3.092
## 16                    WOM  ~                Quality   0.551 0.047 11.831
## 17                    WOM  ~              Alignment   0.162 0.056  2.914
## 18                    WOM  ~             FreqUseSMP   0.195 0.054  3.633
## 19                    WOM  ~ FreqPurchProductOnline  -0.064 0.052 -1.223
## 20                    WOM  ~          ClicksStimuli   0.015 0.052  0.287
## 21                    WOM  ~                    TS1  -0.003 0.053 -0.051
## 22                    WOM  ~                Frmwrk1  -0.098 0.032 -3.095
## 23             FreqUseSMP ~~             FreqUseSMP   0.930 0.033 27.985
## 24                    TS1 ~~                    TS1   0.977 0.020 48.664
## 25                Quality ~~                Quality   0.885 0.039 22.800
## 26               PurchInt ~~               PurchInt   0.701 0.052 13.480
## 27                    WOM ~~                    WOM   0.564 0.051 11.168
## 28               PurchInt ~~                    WOM   0.597 0.044 13.521
## 29              Alignment ~~              Alignment   1.000 0.000     NA
## 30              Alignment ~~ FreqPurchProductOnline   0.118 0.000     NA
## 31              Alignment ~~          ClicksStimuli   0.136 0.000     NA
## 32              Alignment ~~                Frmwrk1  -0.011 0.000     NA
## 33 FreqPurchProductOnline ~~ FreqPurchProductOnline   1.000 0.000     NA
## 34 FreqPurchProductOnline ~~          ClicksStimuli   0.117 0.000     NA
## 35 FreqPurchProductOnline ~~                Frmwrk1   0.004 0.000     NA
## 36          ClicksStimuli ~~          ClicksStimuli   1.000 0.000     NA
## 37          ClicksStimuli ~~                Frmwrk1  -0.059 0.000     NA
## 38                Frmwrk1 ~~                Frmwrk1   1.000 0.000     NA
##    pvalue
## 1   0.000
## 2   0.024
## 3   0.041
## 4   0.000
## 5   0.870
## 6   0.766
## 7   0.030
## 8   0.002
## 9   0.000
## 10  0.357
## 11  0.001
## 12  0.043
## 13  0.819
## 14  0.095
## 15  0.002
## 16  0.000
## 17  0.004
## 18  0.000
## 19  0.221
## 20  0.774
## 21  0.960
## 22  0.002
## 23  0.000
## 24  0.000
## 25  0.000
## 26  0.000
## 27  0.000
## 28  0.000
## 29     NA
## 30     NA
## 31     NA
## 32     NA
## 33     NA
## 34     NA
## 35     NA
## 36     NA
## 37     NA
## 38     NA
# semPaths(fit,"std",edge.label.cex=1,curvePivot=T,covAtResiduals=F,residuals=F,fade=F)
inspect(fit,"theta")
##                        FrUSMP TS1    Qualty PrchIn WOM    Algnmn FrqPPO
## FreqUseSMP              4.688                                          
## TS1                     0.000  2.377                                   
## Quality                 0.000  0.000  1.924                            
## PurchInt                0.000  0.000  0.000  2.757                     
## WOM                     0.000  0.000  0.000  1.626  2.695              
## Alignment               0.000  0.000  0.000  0.000  0.000  0.250       
## FreqPurchProductOnline  0.000  0.000  0.000  0.000  0.000  0.115  3.824
## ClicksStimuli           0.000  0.000  0.000  0.000  0.000  0.076  0.256
## Frmwrk1                 0.000  0.000  0.000  0.000  0.000 -0.013  0.020
##                        ClcksS Frmwr1
## FreqUseSMP                          
## TS1                                 
## Quality                             
## PurchInt                            
## WOM                                 
## Alignment                           
## FreqPurchProductOnline              
## ClicksStimuli           1.254       
## Frmwrk1                -0.154  5.314
Age<-t.test(Age~SMP,data=MainStudyExperience)
Gender<-chisq.test(MainStudyExperience$SMP,MainStudyExperience$Gender)
Income<-t.test(Income~SMP,data=MainStudyExperience)
Education<-t.test(Education~SMP,data=MainStudyExperience)
RE<-chisq.test(MainStudyExperience$SMP,MainStudyExperience$RE,simulate.p.value=T)
StimuliTime<-t.test(PageSubmitStimuli~SMP,data=MainStudyExperience,mu=1)
FreqUseSMP<-t.test(FreqUseSMP~SMP,data=MainStudyExperience)
Risk<-t.test(Risk~SMP,data=MainStudyExperience)
UsefulSMP<-t.test(UsefulSMP~SMP,data=MainStudyExperience)
BrandFam<-t.test(BrandFam~SMP,data=MainStudyExperience)
PriceQuality<-t.test(PriceQuality~SMP,data=MainStudyExperience)
TextVideo<-t.test(TextVideo~SMP,data=MainStudyExperience)
PeersExperts<-t.test(PeersExperts~SMP,data=MainStudyExperience)
FreqPurchProduct<-t.test(FreqPurchProduct~SMP,data=MainStudyExperience)
ProductImportance<-t.test(ProductImportance~SMP,data=MainStudyExperience)
AnnualExpenses<-t.test(AnnualExpenses~SMP,data=MainStudyExperience)
FreqPurchProductOnline<-t.test(FreqPurchProductOnline~SMP,data=MainStudyExperience)
t1Stimuli<-t.test(t1Stimuli~SMP,data=MainStudyExperience)
t2Stimuli<-t.test(t2Stimuli~SMP,data=MainStudyExperience)
PageSubmitStimuli<-t.test(PageSubmitStimuli~SMP,data=MainStudyExperience)
ClicksStimuli<-t.test(ClicksStimuli~SMP,data=MainStudyExperience)
Threshold<-t.test(Threshold~SMP,data=MainStudyExperience)
Longitude<-t.test(LocationLongitude~SMP,data=MainStudyExperience)
Latitude<-t.test(LocationLatitude~SMP,data=MainStudyExperience)
controls<-t(data.frame(Age$p.value,Gender$p.value,Income$p.value,Education$p.value,RE$p.value,StimuliTime$p.value,FreqUseSMP$p.value,Risk$p.value,UsefulSMP$p.value,BrandFam$p.value,PriceQuality$p.value,TextVideo$p.value,PeersExperts$p.value,FreqPurchProduct$p.value,ProductImportance$p.value,AnnualExpenses$p.value,FreqPurchProductOnline$p.value,t1Stimuli$p.value,t2Stimuli$p.value,PageSubmitStimuli$p.value,ClicksStimuli$p.value,Threshold$p.value,Longitude$p.value,Latitude$p.value))
subset(controls,controls<0.1)
##                             [,1]
## FreqUseSMP.p.value   0.002562305
## PriceQuality.p.value 0.059148340
leveneTest(Quality~SMP,data=MainStudyExperience,center=mean)
## Levene's Test for Homogeneity of Variance (center = mean)
##        Df F value Pr(>F)
## group   1  0.0924 0.7616
##       157
t.test(Quality~SMP,data=MainStudyExperience,var.equal=T) ## Hypothesis 2
## 
##  Two Sample t-test
## 
## data:  Quality by SMP
## t = 0.26824, df = 157, p-value = 0.7889
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.3209922  0.4218783
## sample estimates:
## mean in group Facebook  mean in group Twitter 
##               5.835443               5.785000
wilcox.test(Quality~SMP,data=MainStudyExperience)
## 
##  Wilcoxon rank sum test with continuity correction
## 
## data:  Quality by SMP
## W = 3228.5, p-value = 0.8141
## alternative hypothesis: true location shift is not equal to 0
Model<-'FreqUseSMP ~ Alignment
         Quality ~ FreqUseSMP + Alignment + PriceQuality
PurchInt ~ Quality+Alignment+FreqUseSMP + PriceQuality
WOM ~ Quality+Alignment+FreqUseSMP+PriceQuality'
fit<-sem(Model,data=MainStudyExperience)
fitMeasures(fit)
##                npar                fmin               chisq 
##              17.000               0.014               4.587 
##                  df              pvalue      baseline.chisq 
##               1.000               0.032             186.823 
##         baseline.df     baseline.pvalue                 cfi 
##              14.000               0.000               0.979 
##                 tli                nnfi                 rfi 
##               0.709               0.709               0.656 
##                 nfi                pnfi                 ifi 
##               0.975               0.070               0.981 
##                 rni                logl   unrestricted.logl 
##               0.979           -1623.794           -1621.501 
##                 aic                 bic              ntotal 
##            3281.588            3333.760             159.000 
##                bic2               rmsea      rmsea.ci.lower 
##            3279.945               0.150               0.036 
##      rmsea.ci.upper        rmsea.pvalue                 rmr 
##               0.300               0.068               0.157 
##          rmr_nomean                srmr        srmr_bentler 
##               0.157               0.037               0.037 
## srmr_bentler_nomean         srmr_bollen  srmr_bollen_nomean 
##               0.037               0.037               0.037 
##          srmr_mplus   srmr_mplus_nomean               cn_05 
##               0.037               0.037             134.165 
##               cn_01                 gfi                agfi 
##             231.000               0.986               0.706 
##                pgfi                 mfi                ecvi 
##               0.047               0.989               0.243
summary(fit,standardized=T,fit.measures=T,rsq=T)
## lavaan (0.5-22) converged normally after  39 iterations
## 
##   Number of observations                           159
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic                4.587
##   Degrees of freedom                                 1
##   P-value (Chi-square)                           0.032
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic              186.823
##   Degrees of freedom                                14
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.979
##   Tucker-Lewis Index (TLI)                       0.709
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)              -1623.794
##   Loglikelihood unrestricted model (H1)      -1621.501
## 
##   Number of free parameters                         17
##   Akaike (AIC)                                3281.588
##   Bayesian (BIC)                              3333.760
##   Sample-size adjusted Bayesian (BIC)         3279.945
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.150
##   90 Percent Confidence Interval          0.036  0.300
##   P-value RMSEA <= 0.05                          0.068
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.037
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   FreqUseSMP ~                                                          
##     Alignment         0.997    0.323    3.086    0.002    0.997    0.238
##   Quality ~                                                             
##     FreqUseSMP        0.106    0.045    2.351    0.019    0.106    0.189
##     Alignment        -0.048    0.191   -0.251    0.802   -0.048   -0.020
##     PriceQuality      0.012    0.045    0.259    0.796    0.012    0.020
##   PurchInt ~                                                            
##     Quality           0.602    0.119    5.076    0.000    0.602    0.369
##     Alignment        -0.071    0.286   -0.249    0.803   -0.071   -0.019
##     FreqUseSMP        0.107    0.069    1.566    0.117    0.107    0.117
##     PriceQuality      0.142    0.068    2.085    0.037    0.142    0.151
##   WOM ~                                                                 
##     Quality           0.924    0.115    8.007    0.000    0.924    0.542
##     Alignment         0.198    0.278    0.713    0.476    0.198    0.049
##     FreqUseSMP       -0.029    0.067   -0.436    0.663   -0.029   -0.030
##     PriceQuality      0.065    0.066    0.977    0.328    0.065    0.066
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##  .PurchInt ~~                                                           
##    .WOM               1.799    0.272    6.623    0.000    1.799    0.617
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .FreqUseSMP        4.150    0.465    8.916    0.000    4.150    0.943
##    .Quality           1.339    0.150    8.916    0.000    1.339    0.966
##    .PurchInt          2.998    0.336    8.916    0.000    2.998    0.811
##    .WOM               2.834    0.318    8.916    0.000    2.834    0.704
## 
## R-Square:
##                    Estimate
##     FreqUseSMP        0.057
##     Quality           0.034
##     PurchInt          0.189
##     WOM               0.296
coef(fit)
##   FreqUseSMP~Alignment     Quality~FreqUseSMP      Quality~Alignment 
##                  0.997                  0.106                 -0.048 
##   Quality~PriceQuality       PurchInt~Quality     PurchInt~Alignment 
##                  0.012                  0.602                 -0.071 
##    PurchInt~FreqUseSMP  PurchInt~PriceQuality            WOM~Quality 
##                  0.107                  0.142                  0.924 
##          WOM~Alignment         WOM~FreqUseSMP       WOM~PriceQuality 
##                  0.198                 -0.029                  0.065 
## FreqUseSMP~~FreqUseSMP       Quality~~Quality     PurchInt~~PurchInt 
##                  4.150                  1.339                  2.998 
##               WOM~~WOM          PurchInt~~WOM 
##                  2.834                  1.799
standardizedSolution(fit)
##             lhs op          rhs est.std    se      z pvalue
## 1    FreqUseSMP  ~    Alignment   0.238 0.074  3.223  0.001
## 2       Quality  ~   FreqUseSMP   0.189 0.079  2.391  0.017
## 3       Quality  ~    Alignment  -0.020 0.081 -0.251  0.802
## 4       Quality  ~ PriceQuality   0.020 0.079  0.259  0.796
## 5      PurchInt  ~      Quality   0.369 0.068  5.429  0.000
## 6      PurchInt  ~    Alignment  -0.019 0.074 -0.249  0.803
## 7      PurchInt  ~   FreqUseSMP   0.117 0.074  1.574  0.115
## 8      PurchInt  ~ PriceQuality   0.151 0.071  2.118  0.034
## 9           WOM  ~      Quality   0.542 0.057  9.445  0.000
## 10          WOM  ~    Alignment   0.049 0.069  0.714  0.475
## 11          WOM  ~   FreqUseSMP  -0.030 0.070 -0.436  0.663
## 12          WOM  ~ PriceQuality   0.066 0.067  0.980  0.327
## 13   FreqUseSMP ~~   FreqUseSMP   0.943 0.035 26.905  0.000
## 14      Quality ~~      Quality   0.966 0.028 33.991  0.000
## 15     PurchInt ~~     PurchInt   0.811 0.056 14.552  0.000
## 16          WOM ~~          WOM   0.704 0.061 11.584  0.000
## 17     PurchInt ~~          WOM   0.617 0.049 12.576  0.000
## 18    Alignment ~~    Alignment   1.000 0.000     NA     NA
## 19    Alignment ~~ PriceQuality  -0.150 0.000     NA     NA
## 20 PriceQuality ~~ PriceQuality   1.000 0.000     NA     NA
semPaths(fit,"std",edge.label.cex=1,curvePivot=T,covAtResiduals=F,residuals=F,fade=F)

inspect(fit,"theta")
##              FrUSMP Qualty PrchIn WOM    Algnmn PrcQlt
## FreqUseSMP    4.150                                   
## Quality       0.000  1.339                            
## PurchInt      0.000  0.000  2.998                     
## WOM           0.000  0.000  1.799  2.834              
## Alignment     0.000  0.000  0.000  0.000  0.250       
## PriceQuality  0.000  0.000  0.000  0.000 -0.154  4.187
Age<-t.test(Age~SMP,data=MainStudyCredence)
Gender<-chisq.test(MainStudyCredence$SMP,MainStudyCredence$Gender)
Income<-t.test(Income~SMP,data=MainStudyCredence)
Education<-t.test(Education~SMP,data=MainStudyCredence)
RE<-chisq.test(MainStudyCredence$SMP,MainStudyCredence$RE,simulate.p.value=T)
StimuliTime<-t.test(PageSubmitStimuli~SMP,data=MainStudyCredence,mu=1)
FreqUseSMP<-t.test(FreqUseSMP~SMP,data=MainStudyCredence)
Risk<-t.test(Risk~SMP,data=MainStudyCredence)
UsefulSMP<-t.test(UsefulSMP~SMP,data=MainStudyCredence)
BrandFam<-t.test(BrandFam~SMP,data=MainStudyCredence)
PriceQuality<-t.test(PriceQuality~SMP,data=MainStudyCredence)
TextVideo<-t.test(TextVideo~SMP,data=MainStudyCredence)
PeersExperts<-t.test(PeersExperts~SMP,data=MainStudyCredence)
FreqPurchProduct<-t.test(FreqPurchProduct~SMP,data=MainStudyCredence)
ProductImportance<-t.test(ProductImportance~SMP,data=MainStudyCredence)
AnnualExpenses<-t.test(AnnualExpenses~SMP,data=MainStudyCredence)
FreqPurchProductOnline<-t.test(FreqPurchProductOnline~SMP,data=MainStudyCredence)
t1Stimuli<-t.test(t1Stimuli~SMP,data=MainStudyCredence)
t2Stimuli<-t.test(t2Stimuli~SMP,data=MainStudyCredence)
PageSubmitStimuli<-t.test(PageSubmitStimuli~SMP,data=MainStudyCredence)
ClicksStimuli<-t.test(ClicksStimuli~SMP,data=MainStudyCredence)
Threshold<-t.test(Threshold~SMP,data=MainStudyCredence)
Longitude<-t.test(LocationLongitude~SMP,data=MainStudyCredence)
Latitude<-t.test(LocationLatitude~SMP,data=MainStudyCredence)
controls<-t(data.frame(Age$p.value,Gender$p.value,Income$p.value,Education$p.value,RE$p.value,StimuliTime$p.value,FreqUseSMP$p.value,Risk$p.value,UsefulSMP$p.value,BrandFam$p.value,PriceQuality$p.value,TextVideo$p.value,PeersExperts$p.value,FreqPurchProduct$p.value,ProductImportance$p.value,AnnualExpenses$p.value,FreqPurchProductOnline$p.value,t1Stimuli$p.value,t2Stimuli$p.value,PageSubmitStimuli$p.value,ClicksStimuli$p.value,Threshold$p.value,Longitude$p.value,Latitude$p.value))
subset(controls,controls<0.1)
##                                   [,1]
## FreqUseSMP.p.value        4.049070e-23
## UsefulSMP.p.value         6.046862e-20
## ProductImportance.p.value 4.405458e-02
leveneTest(Quality~SMP,data=MainStudyCredence,center=mean)
## Levene's Test for Homogeneity of Variance (center = mean)
##        Df F value Pr(>F)
## group   1  0.4377 0.5091
##       185
t.test(Quality~SMP,data=MainStudyCredence,var.equal=T) ## Hypothesis 3
## 
##  Two Sample t-test
## 
## data:  Quality by SMP
## t = -2.3045, df = 185, p-value = 0.0223
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.8478307 -0.0657360
## sample estimates:
## mean in group Twitter mean in group YouTube 
##              5.080851              5.537634
wilcox.test(Quality~SMP,data=MainStudyCredence)
## 
##  Wilcoxon rank sum test with continuity correction
## 
## data:  Quality by SMP
## W = 3528.5, p-value = 0.02217
## alternative hypothesis: true location shift is not equal to 0
Model<-'FreqUseSMP ~ Alignment
         Quality ~ FreqUseSMP + Alignment + ProductImportance
PurchInt ~ Quality+Alignment+FreqUseSMP + ProductImportance
WOM ~ Quality+Alignment+FreqUseSMP+ProductImportance'
fit<-sem(Model,data=MainStudyCredence)
fitMeasures(fit)
##                npar                fmin               chisq 
##              17.000               0.010               3.821 
##                  df              pvalue      baseline.chisq 
##               1.000               0.051             318.492 
##         baseline.df     baseline.pvalue                 cfi 
##              14.000               0.000               0.991 
##                 tli                nnfi                 rfi 
##               0.870               0.870               0.832 
##                 nfi                pnfi                 ifi 
##               0.988               0.071               0.991 
##                 rni                logl   unrestricted.logl 
##               0.991           -1960.077           -1958.167 
##                 aic                 bic              ntotal 
##            3954.155            4009.084             187.000 
##                bic2               rmsea      rmsea.ci.lower 
##            3955.238               0.123               0.000 
##      rmsea.ci.upper        rmsea.pvalue                 rmr 
##               0.263               0.106               0.159 
##          rmr_nomean                srmr        srmr_bentler 
##               0.159               0.027               0.027 
## srmr_bentler_nomean         srmr_bollen  srmr_bollen_nomean 
##               0.027               0.026               0.026 
##          srmr_mplus   srmr_mplus_nomean               cn_05 
##               0.027               0.027             189.016 
##               cn_01                 gfi                agfi 
##             325.738               0.991               0.815 
##                pgfi                 mfi                ecvi 
##               0.047               0.992               0.202
summary(fit,standardized=T,fit.measures=T,rsq=T)
## lavaan (0.5-22) converged normally after  40 iterations
## 
##   Number of observations                           187
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic                3.821
##   Degrees of freedom                                 1
##   P-value (Chi-square)                           0.051
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic              318.492
##   Degrees of freedom                                14
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.991
##   Tucker-Lewis Index (TLI)                       0.870
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)              -1960.077
##   Loglikelihood unrestricted model (H1)      -1958.167
## 
##   Number of free parameters                         17
##   Akaike (AIC)                                3954.155
##   Bayesian (BIC)                              4009.084
##   Sample-size adjusted Bayesian (BIC)         3955.238
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.123
##   90 Percent Confidence Interval          0.000  0.263
##   P-value RMSEA <= 0.05                          0.106
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.027
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   FreqUseSMP ~                                                          
##     Alignment         3.182    0.277   11.481    0.000    3.182    0.643
##   Quality ~                                                             
##     FreqUseSMP        0.110    0.051    2.179    0.029    0.110    0.200
##     Alignment         0.046    0.252    0.181    0.857    0.046    0.017
##     ProductImprtnc    0.081    0.038    2.108    0.035    0.081    0.150
##   PurchInt ~                                                            
##     Quality           0.533    0.088    6.090    0.000    0.533    0.390
##     Alignment         0.366    0.302    1.213    0.225    0.366    0.098
##     FreqUseSMP        0.038    0.061    0.620    0.535    0.038    0.051
##     ProductImprtnc    0.175    0.046    3.769    0.000    0.175    0.238
##   WOM ~                                                                 
##     Quality           0.875    0.088    9.921    0.000    0.875    0.572
##     Alignment        -0.063    0.304   -0.209    0.835   -0.063   -0.015
##     FreqUseSMP        0.036    0.062    0.581    0.561    0.036    0.043
##     ProductImprtnc    0.173    0.047    3.704    0.000    0.173    0.210
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##  .PurchInt ~~                                                           
##    .WOM               0.942    0.194    4.854    0.000    0.942    0.380
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .FreqUseSMP        3.590    0.371    9.670    0.000    3.590    0.587
##    .Quality           1.720    0.178    9.670    0.000    1.720    0.926
##    .PurchInt          2.464    0.255    9.670    0.000    2.464    0.710
##    .WOM               2.500    0.259    9.670    0.000    2.500    0.577
## 
## R-Square:
##                    Estimate
##     FreqUseSMP        0.413
##     Quality           0.074
##     PurchInt          0.290
##     WOM               0.423
coef(fit)
##       FreqUseSMP~Alignment         Quality~FreqUseSMP 
##                      3.182                      0.110 
##          Quality~Alignment  Quality~ProductImportance 
##                      0.046                      0.081 
##           PurchInt~Quality         PurchInt~Alignment 
##                      0.533                      0.366 
##        PurchInt~FreqUseSMP PurchInt~ProductImportance 
##                      0.038                      0.175 
##                WOM~Quality              WOM~Alignment 
##                      0.875                     -0.063 
##             WOM~FreqUseSMP      WOM~ProductImportance 
##                      0.036                      0.173 
##     FreqUseSMP~~FreqUseSMP           Quality~~Quality 
##                      3.590                      1.720 
##         PurchInt~~PurchInt                   WOM~~WOM 
##                      2.464                      2.500 
##              PurchInt~~WOM 
##                      0.942
standardizedSolution(fit)
##                  lhs op               rhs est.std    se      z pvalue
## 1         FreqUseSMP  ~         Alignment   0.643 0.038 16.830  0.000
## 2            Quality  ~        FreqUseSMP   0.200 0.091  2.207  0.027
## 3            Quality  ~         Alignment   0.017 0.092  0.181  0.857
## 4            Quality  ~ ProductImportance   0.150 0.070  2.142  0.032
## 5           PurchInt  ~           Quality   0.390 0.060  6.514  0.000
## 6           PurchInt  ~         Alignment   0.098 0.081  1.217  0.224
## 7           PurchInt  ~        FreqUseSMP   0.051 0.081  0.620  0.535
## 8           PurchInt  ~ ProductImportance   0.238 0.061  3.910  0.000
## 9                WOM  ~           Quality   0.572 0.049 11.704  0.000
## 10               WOM  ~         Alignment  -0.015 0.073 -0.209  0.835
## 11               WOM  ~        FreqUseSMP   0.043 0.073  0.581  0.561
## 12               WOM  ~ ProductImportance   0.210 0.055  3.797  0.000
## 13        FreqUseSMP ~~        FreqUseSMP   0.587 0.049 11.939  0.000
## 14           Quality ~~           Quality   0.926 0.036 25.510  0.000
## 15          PurchInt ~~          PurchInt   0.710 0.055 12.939  0.000
## 16               WOM ~~               WOM   0.577 0.054 10.595  0.000
## 17          PurchInt ~~               WOM   0.380 0.063  6.066  0.000
## 18         Alignment ~~         Alignment   1.000 0.000     NA     NA
## 19         Alignment ~~ ProductImportance   0.147 0.000     NA     NA
## 20 ProductImportance ~~ ProductImportance   1.000 0.000     NA     NA
semPaths(fit,"std",edge.label.cex=1,curvePivot=T,covAtResiduals=F,residuals=F,fade=F)

inspect(fit,"theta")
##                   FrUSMP Qualty PrchIn WOM   Algnmn PrdctI
## FreqUseSMP        3.590                                   
## Quality           0.000  1.720                            
## PurchInt          0.000  0.000  2.464                     
## WOM               0.000  0.000  0.942  2.500              
## Alignment         0.000  0.000  0.000  0.000 0.250        
## ProductImportance 0.000  0.000  0.000  0.000 0.187  6.431
MainStudy<-rbind(MainStudySearch,MainStudyExperience,MainStudyCredence)

Age<-t.test(Age~Alignment,data=MainStudy)
Gender<-chisq.test(MainStudy$Alignment,MainStudy$Gender)
Income<-t.test(Income~Alignment,data=MainStudy)
Education<-t.test(Education~Alignment,data=MainStudy)
RE<-chisq.test(MainStudy$Alignment,MainStudy$RE,simulate.p.value=T)
StimuliTime<-t.test(PageSubmitStimuli~Alignment,data=MainStudy,mu=1)
FreqUseSMP<-t.test(FreqUseSMP~Alignment,data=MainStudy)
Risk<-t.test(Risk~Alignment,data=MainStudy)
UsefulSMP<-t.test(UsefulSMP~Alignment,data=MainStudy)
BrandFam<-t.test(BrandFam~Alignment,data=MainStudy)
PriceQuality<-t.test(PriceQuality~Alignment,data=MainStudy)
TextVideo<-t.test(TextVideo~Alignment,data=MainStudy)
PeersExperts<-t.test(PeersExperts~Alignment,data=MainStudy)
FreqPurchProduct<-t.test(FreqPurchProduct~Alignment,data=MainStudy)
ProductImportance<-t.test(ProductImportance~Alignment,data=MainStudy)
AnnualExpenses<-t.test(AnnualExpenses~Alignment,data=MainStudy)
FreqPurchProductOnline<-t.test(FreqPurchProductOnline~Alignment,data=MainStudy)
t1Stimuli<-t.test(t1Stimuli~Alignment,data=MainStudy)
t2Stimuli<-t.test(t2Stimuli~Alignment,data=MainStudy)
PageSubmitStimuli<-t.test(PageSubmitStimuli~Alignment,data=MainStudy)
ClicksStimuli<-t.test(ClicksStimuli~Alignment,data=MainStudy)
Threshold<-t.test(Threshold~Alignment,data=MainStudy)
Longitude<-t.test(LocationLongitude~Alignment,data=MainStudy)
Latitude<-t.test(LocationLatitude~Alignment,data=MainStudy)
controls<-t(data.frame(Age$p.value,Gender$p.value,Income$p.value,Education$p.value,RE$p.value,StimuliTime$p.value,FreqUseSMP$p.value,Risk$p.value,UsefulSMP$p.value,BrandFam$p.value,PriceQuality$p.value,TextVideo$p.value,PeersExperts$p.value,FreqPurchProduct$p.value,ProductImportance$p.value,AnnualExpenses$p.value,FreqPurchProductOnline$p.value,t1Stimuli$p.value,t2Stimuli$p.value,PageSubmitStimuli$p.value,ClicksStimuli$p.value,Threshold$p.value,Longitude$p.value,Latitude$p.value))
subset(controls,controls<0.1)
##                                   [,1]
## FreqUseSMP.p.value        3.272569e-06
## UsefulSMP.p.value         1.217876e-05
## ProductImportance.p.value 3.282396e-02
Model<-'FreqUseSMP ~ a*Alignment
         Quality ~ b*FreqUseSMP + c*Alignment
         PurchInt ~ d*Quality + e*Alignment
         WOM ~ f*Quality + g*Alignment
         IndirectOnQuality:=a*b
         DirectOnQuality:=c
         TotalOnQuality:=c+a*b
         IndirectOnPurchInt:=d*c
         DirectOnPurchInt:=e
         TotalOnPurchInt:=e+d*c
         IndirectOnWOM:=f*c
         DirectOnWOM:=g
         TotalOnWOM:=g+f*c'
fit<-sem(Model,data=MainStudy)
fitMeasures(fit)
##                npar                fmin               chisq 
##              12.000               0.013              14.830 
##                  df              pvalue      baseline.chisq 
##               2.000               0.001             639.817 
##         baseline.df     baseline.pvalue                 cfi 
##              10.000               0.000               0.980 
##                 tli                nnfi                 rfi 
##               0.898               0.898               0.884 
##                 nfi                pnfi                 ifi 
##               0.977               0.195               0.980 
##                 rni                logl   unrestricted.logl 
##               0.980           -4695.620           -4688.205 
##                 aic                 bic              ntotal 
##            9415.241            9467.154             559.000 
##                bic2               rmsea      rmsea.ci.lower 
##            9429.061               0.107               0.061 
##      rmsea.ci.upper        rmsea.pvalue                 rmr 
##               0.161               0.024               0.180 
##          rmr_nomean                srmr        srmr_bentler 
##               0.180               0.040               0.040 
## srmr_bentler_nomean         srmr_bollen  srmr_bollen_nomean 
##               0.040               0.040               0.040 
##          srmr_mplus   srmr_mplus_nomean               cn_05 
##               0.040               0.040             226.845 
##               cn_01                 gfi                agfi 
##             348.178               0.987               0.903 
##                pgfi                 mfi                ecvi 
##               0.132               0.989               0.069
summary(fit,standardized=T,fit.measures=T,rsq=T)
## lavaan (0.5-22) converged normally after  38 iterations
## 
##   Number of observations                           559
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic               14.830
##   Degrees of freedom                                 2
##   P-value (Chi-square)                           0.001
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic              639.817
##   Degrees of freedom                                10
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.980
##   Tucker-Lewis Index (TLI)                       0.898
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)              -4695.620
##   Loglikelihood unrestricted model (H1)      -4688.205
## 
##   Number of free parameters                         12
##   Akaike (AIC)                                9415.241
##   Bayesian (BIC)                              9467.154
##   Sample-size adjusted Bayesian (BIC)         9429.061
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.107
##   90 Percent Confidence Interval          0.061  0.161
##   P-value RMSEA <= 0.05                          0.024
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.040
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   FreqUseSMP ~                                                          
##     Alignment  (a)    0.895    0.190    4.719    0.000    0.895    0.196
##   Quality ~                                                             
##     FreqUseSMP (b)    0.078    0.025    3.083    0.002    0.078    0.130
##     Alignment  (c)    0.362    0.116    3.118    0.002    0.362    0.132
##   PurchInt ~                                                            
##     Quality    (d)    0.631    0.054   11.711    0.000    0.631    0.446
##     Alignment  (e)    0.175    0.148    1.184    0.237    0.175    0.045
##   WOM ~                                                                 
##     Quality    (f)    0.906    0.053   17.201    0.000    0.906    0.589
##     Alignment  (g)    0.245    0.145    1.695    0.090    0.245    0.058
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##  .PurchInt ~~                                                           
##    .WOM               1.601    0.141   11.357    0.000    1.601    0.548
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .FreqUseSMP        5.029    0.301   16.718    0.000    5.029    0.962
##    .Quality           1.810    0.108   16.718    0.000    1.810    0.959
##    .PurchInt          2.990    0.179   16.718    0.000    2.990    0.792
##    .WOM               2.857    0.171   16.718    0.000    2.857    0.639
## 
## R-Square:
##                    Estimate
##     FreqUseSMP        0.038
##     Quality           0.041
##     PurchInt          0.208
##     WOM               0.361
## 
## Defined Parameters:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##     IndirectOnQlty    0.070    0.027    2.581    0.010    0.070    0.025
##     DirectOnQualty    0.362    0.116    3.118    0.002    0.362    0.132
##     TotalOnQuality    0.432    0.115    3.763    0.000    0.432    0.157
##     IndrctOnPrchIn    0.228    0.076    3.013    0.003    0.228    0.059
##     DirctOnPrchInt    0.175    0.148    1.184    0.237    0.175    0.045
##     TotalOnPrchInt    0.404    0.164    2.467    0.014    0.404    0.104
##     IndirectOnWOM     0.328    0.107    3.068    0.002    0.328    0.078
##     DirectOnWOM       0.245    0.145    1.695    0.090    0.245    0.058
##     TotalOnWOM        0.573    0.178    3.229    0.001    0.573    0.136
coef(fit)
##                      a                      b                      c 
##                  0.895                  0.078                  0.362 
##                      d                      e                      f 
##                  0.631                  0.175                  0.906 
##                      g FreqUseSMP~~FreqUseSMP       Quality~~Quality 
##                  0.245                  5.029                  1.810 
##     PurchInt~~PurchInt               WOM~~WOM          PurchInt~~WOM 
##                  2.990                  2.857                  1.601
standardizedSolution(fit)
##                   lhs op        rhs est.std    se      z pvalue
## 1          FreqUseSMP  ~  Alignment   0.196 0.040  4.858  0.000
## 2             Quality  ~ FreqUseSMP   0.130 0.042  3.108  0.002
## 3             Quality  ~  Alignment   0.132 0.042  3.157  0.002
## 4            PurchInt  ~    Quality   0.446 0.034 13.044  0.000
## 5            PurchInt  ~  Alignment   0.045 0.038  1.185  0.236
## 6                 WOM  ~    Quality   0.589 0.028 21.117  0.000
## 7                 WOM  ~  Alignment   0.058 0.034  1.698  0.089
## 8          FreqUseSMP ~~ FreqUseSMP   0.962 0.016 60.989  0.000
## 9             Quality ~~    Quality   0.959 0.016 58.592  0.000
## 10           PurchInt ~~   PurchInt   0.792 0.031 25.946  0.000
## 11                WOM ~~        WOM   0.639 0.032 19.684  0.000
## 12           PurchInt ~~        WOM   0.548 0.030 18.496  0.000
## 13          Alignment ~~  Alignment   1.000 0.000     NA     NA
## 14  IndirectOnQuality :=        a*b   0.025 0.010  2.606  0.009
## 15    DirectOnQuality :=          c   0.132 0.042  3.157  0.002
## 16     TotalOnQuality :=      c+a*b   0.157 0.041  3.834  0.000
## 17 IndirectOnPurchInt :=        d*c   0.059 0.019  3.057  0.002
## 18   DirectOnPurchInt :=          e   0.045 0.038  1.185  0.236
## 19    TotalOnPurchInt :=      e+d*c   0.104 0.042  2.487  0.013
## 20      IndirectOnWOM :=        f*c   0.078 0.025  3.119  0.002
## 21        DirectOnWOM :=          g   0.058 0.034  1.698  0.089
## 22         TotalOnWOM :=      g+f*c   0.136 0.041  3.274  0.001
semPaths(fit,"std",edge.label.cex=1,curvePivot=T,covAtResiduals=F,residuals=F,fade=F)

inspect(fit,"theta")
##            FrUSMP Qualty PrchIn WOM   Algnmn
## FreqUseSMP 5.029                            
## Quality    0.000  1.810                     
## PurchInt   0.000  0.000  2.990              
## WOM        0.000  0.000  1.601  2.857       
## Alignment  0.000  0.000  0.000  0.000 0.250
Model<-'FreqUseSMP ~ a*Alignment+ProductImportance
         Quality ~ b*FreqUseSMP + c*Alignment+ProductImportance
PurchInt ~ d*Quality + e*Alignment+ProductImportance
WOM ~ f*Quality + g*Alignment+ProductImportance
IndirectOnQuality:=a*b
DirectOnQuality:=c
TotalOnQuality:=c+a*b
IndirectOnPurchInt:=d*c
DirectOnPurchInt:=e
TotalOnPurchInt:=e+d*c
IndirectOnWOM:=f*c
DirectOnWOM:=g
TotalOnWOM:=g+f*c'
fit<-sem(Model,data=MainStudy)
fitMeasures(fit)
##                npar                fmin               chisq 
##              16.000               0.012              13.840 
##                  df              pvalue      baseline.chisq 
##               2.000               0.001             673.550 
##         baseline.df     baseline.pvalue                 cfi 
##              14.000               0.000               0.982 
##                 tli                nnfi                 rfi 
##               0.874               0.874               0.856 
##                 nfi                pnfi                 ifi 
##               0.979               0.140               0.982 
##                 rni                logl   unrestricted.logl 
##               0.982           -5914.664           -5907.744 
##                 aic                 bic              ntotal 
##           11861.329           11930.547             559.000 
##                bic2               rmsea      rmsea.ci.lower 
##           11879.756               0.103               0.056 
##      rmsea.ci.upper        rmsea.pvalue                 rmr 
##               0.157               0.032               0.145 
##          rmr_nomean                srmr        srmr_bentler 
##               0.145               0.032               0.032 
## srmr_bentler_nomean         srmr_bollen  srmr_bollen_nomean 
##               0.032               0.032               0.032 
##          srmr_mplus   srmr_mplus_nomean               cn_05 
##               0.032               0.032             242.991 
##               cn_01                 gfi                agfi 
##             372.998               0.988               0.873 
##                pgfi                 mfi                ecvi 
##               0.094               0.989               0.082
summary(fit,standardized=T,fit.measures=T,rsq=T)
## lavaan (0.5-22) converged normally after  39 iterations
## 
##   Number of observations                           559
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic               13.840
##   Degrees of freedom                                 2
##   P-value (Chi-square)                           0.001
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic              673.550
##   Degrees of freedom                                14
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.982
##   Tucker-Lewis Index (TLI)                       0.874
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)              -5914.664
##   Loglikelihood unrestricted model (H1)      -5907.744
## 
##   Number of free parameters                         16
##   Akaike (AIC)                               11861.329
##   Bayesian (BIC)                             11930.547
##   Sample-size adjusted Bayesian (BIC)        11879.756
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.103
##   90 Percent Confidence Interval          0.056  0.157
##   P-value RMSEA <= 0.05                          0.032
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.032
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   FreqUseSMP ~                                                          
##     Alignment  (a)    0.861    0.190    4.538    0.000    0.861    0.188
##     PrdctImprt        0.084    0.043    1.974    0.048    0.084    0.082
##   Quality ~                                                             
##     FreqUseSMP (b)    0.068    0.025    2.740    0.006    0.068    0.114
##     Alignment  (c)    0.323    0.114    2.828    0.005    0.323    0.117
##     PrdctImprt        0.120    0.025    4.735    0.000    0.120    0.194
##   PurchInt ~                                                            
##     Quality    (d)    0.600    0.055   10.972    0.000    0.600    0.424
##     Alignment  (e)    0.151    0.147    1.027    0.304    0.151    0.039
##     PrdctImprt        0.093    0.034    2.781    0.005    0.093    0.107
##   WOM ~                                                                 
##     Quality    (f)    0.880    0.054   16.428    0.000    0.880    0.572
##     Alignment  (g)    0.225    0.144    1.559    0.119    0.225    0.053
##     PrdctImprt        0.080    0.033    2.425    0.015    0.080    0.084
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##  .PurchInt ~~                                                           
##    .WOM               1.566    0.139   11.270    0.000    1.566    0.542
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .FreqUseSMP        4.994    0.299   16.718    0.000    4.994    0.955
##    .Quality           1.741    0.104   16.718    0.000    1.741    0.922
##    .PurchInt          2.949    0.176   16.718    0.000    2.949    0.782
##    .WOM               2.828    0.169   16.718    0.000    2.828    0.632
## 
## R-Square:
##                    Estimate
##     FreqUseSMP        0.045
##     Quality           0.078
##     PurchInt          0.218
##     WOM               0.368
## 
## Defined Parameters:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##     IndirectOnQlty    0.059    0.025    2.345    0.019    0.059    0.021
##     DirectOnQualty    0.323    0.114    2.828    0.005    0.323    0.117
##     TotalOnQuality    0.382    0.113    3.382    0.001    0.382    0.139
##     IndrctOnPrchIn    0.194    0.071    2.738    0.006    0.194    0.050
##     DirctOnPrchInt    0.151    0.147    1.027    0.304    0.151    0.039
##     TotalOnPrchInt    0.345    0.161    2.141    0.032    0.345    0.089
##     IndirectOnWOM     0.284    0.102    2.787    0.005    0.284    0.067
##     DirectOnWOM       0.225    0.144    1.559    0.119    0.225    0.053
##     TotalOnWOM        0.509    0.175    2.914    0.004    0.509    0.120
coef(fit)
##                            a FreqUseSMP~ProductImportance 
##                        0.861                        0.084 
##                            b                            c 
##                        0.068                        0.323 
##    Quality~ProductImportance                            d 
##                        0.120                        0.600 
##                            e   PurchInt~ProductImportance 
##                        0.151                        0.093 
##                            f                            g 
##                        0.880                        0.225 
##        WOM~ProductImportance       FreqUseSMP~~FreqUseSMP 
##                        0.080                        4.994 
##             Quality~~Quality           PurchInt~~PurchInt 
##                        1.741                        2.949 
##                     WOM~~WOM                PurchInt~~WOM 
##                        2.828                        1.566
standardizedSolution(fit)
##                   lhs op               rhs est.std    se      z pvalue
## 1          FreqUseSMP  ~         Alignment   0.188 0.040  4.660  0.000
## 2          FreqUseSMP  ~ ProductImportance   0.082 0.041  1.984  0.047
## 3             Quality  ~        FreqUseSMP   0.114 0.041  2.756  0.006
## 4             Quality  ~         Alignment   0.117 0.041  2.855  0.004
## 5             Quality  ~ ProductImportance   0.194 0.040  4.869  0.000
## 6            PurchInt  ~           Quality   0.424 0.035 12.012  0.000
## 7            PurchInt  ~         Alignment   0.039 0.038  1.028  0.304
## 8            PurchInt  ~ ProductImportance   0.107 0.038  2.802  0.005
## 9                 WOM  ~           Quality   0.572 0.029 19.643  0.000
## 10                WOM  ~         Alignment   0.053 0.034  1.562  0.118
## 11                WOM  ~ ProductImportance   0.084 0.034  2.435  0.015
## 12         FreqUseSMP ~~        FreqUseSMP   0.955 0.017 56.390  0.000
## 13            Quality ~~           Quality   0.922 0.021 42.925  0.000
## 14           PurchInt ~~          PurchInt   0.782 0.031 25.363  0.000
## 15                WOM ~~               WOM   0.632 0.032 19.550  0.000
## 16           PurchInt ~~               WOM   0.542 0.030 18.161  0.000
## 17          Alignment ~~         Alignment   1.000 0.000     NA     NA
## 18          Alignment ~~ ProductImportance   0.090 0.000     NA     NA
## 19  ProductImportance ~~ ProductImportance   1.000 0.000     NA     NA
## 20  IndirectOnQuality :=               a*b   0.021 0.009  2.363  0.018
## 21    DirectOnQuality :=                 c   0.117 0.041  2.855  0.004
## 22     TotalOnQuality :=             c+a*b   0.139 0.040  3.431  0.001
## 23 IndirectOnPurchInt :=               d*c   0.050 0.018  2.769  0.006
## 24   DirectOnPurchInt :=                 e   0.039 0.038  1.028  0.304
## 25    TotalOnPurchInt :=             e+d*c   0.089 0.041  2.153  0.031
## 26      IndirectOnWOM :=               f*c   0.067 0.024  2.823  0.005
## 27        DirectOnWOM :=                 g   0.053 0.034  1.562  0.118
## 28         TotalOnWOM :=             g+f*c   0.120 0.041  2.945  0.003
semPaths(fit,"std",edge.label.cex=1,curvePivot=T,covAtResiduals=F,residuals=F,fade=F)

inspect(fit,"theta")
##                   FrUSMP Qualty PrchIn WOM   Algnmn PrdctI
## FreqUseSMP        4.994                                   
## Quality           0.000  1.741                            
## PurchInt          0.000  0.000  2.949                     
## WOM               0.000  0.000  1.566  2.828              
## Alignment         0.000  0.000  0.000  0.000 0.250        
## ProductImportance 0.000  0.000  0.000  0.000 0.100  4.923
Model<-'FreqUseSMP~Alignment+Risk+ProductImportance
Quality ~ FreqUseSMP + Alignment + Risk + ProductImportance+PriceQuality+AnnualExpenses+PageSubmitStimuli+FreqPurchProductOnline+PeersExperts+Age+Gender+ClicksStimuli+LocationLatitude+LocationLongitude+t1Stimuli+t2Stimuli+Threshold+t7_2
PurchInt ~ Quality + Alignment +Risk + ProductImportance+PriceQuality+AnnualExpenses+PageSubmitStimuli+FreqPurchProductOnline++PeersExperts+Age+Gender+ClicksStimuli+LocationLatitude+LocationLongitude+t1Stimuli+t2Stimuli+Threshold+t7_2
WOM ~ Quality + Alignment + Risk +ProductImportance+PriceQuality+AnnualExpenses+PageSubmitStimuli+FreqPurchProductOnline+PeersExperts+Age+Gender+ClicksStimuli+LocationLatitude+LocationLongitude+t1Stimuli+t2Stimuli+Threshold+t7_2'
fit<-sem(Model,data=MainStudyExperience)
fitMeasures(fit)
##                npar                fmin               chisq 
##              62.000               0.104              33.089 
##                  df              pvalue      baseline.chisq 
##              16.000               0.007             306.626 
##         baseline.df     baseline.pvalue                 cfi 
##              74.000               0.000               0.927 
##                 tli                nnfi                 rfi 
##               0.660               0.660               0.501 
##                 nfi                pnfi                 ifi 
##               0.892               0.193               0.941 
##                 rni                logl   unrestricted.logl 
##               0.927           -8993.287           -8976.742 
##                 aic                 bic              ntotal 
##           18110.573           18300.845             159.000 
##                bic2               rmsea      rmsea.ci.lower 
##           18104.581               0.082               0.041 
##      rmsea.ci.upper        rmsea.pvalue                 rmr 
##               0.122               0.089               0.934 
##          rmr_nomean                srmr        srmr_bentler 
##               0.934               0.027               0.027 
## srmr_bentler_nomean         srmr_bollen  srmr_bollen_nomean 
##               0.027               0.027               0.027 
##          srmr_mplus   srmr_mplus_nomean               cn_05 
##               0.027               0.027             127.361 
##               cn_01                 gfi                agfi 
##             154.769               0.919              -0.172 
##                pgfi                 mfi                ecvi 
##               0.064               0.948               0.988
summary(fit,standardized=T,fit.measures=T,rsq=T)
## lavaan (0.5-22) converged normally after 145 iterations
## 
##   Number of observations                           159
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic               33.089
##   Degrees of freedom                                16
##   P-value (Chi-square)                           0.007
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic              306.626
##   Degrees of freedom                                74
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.927
##   Tucker-Lewis Index (TLI)                       0.660
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)              -8993.287
##   Loglikelihood unrestricted model (H1)      -8976.742
## 
##   Number of free parameters                         62
##   Akaike (AIC)                               18110.573
##   Bayesian (BIC)                             18300.845
##   Sample-size adjusted Bayesian (BIC)        18104.581
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.082
##   90 Percent Confidence Interval          0.041  0.122
##   P-value RMSEA <= 0.05                          0.089
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.027
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   FreqUseSMP ~                                                          
##     Alignment         0.908    0.317    2.865    0.004    0.908    0.216
##     Risk              0.150    0.076    1.976    0.048    0.150    0.149
##     ProductImprtnc    0.157    0.079    1.983    0.047    0.157    0.150
##   Quality ~                                                             
##     FreqUseSMP        0.081    0.044    1.861    0.063    0.081    0.145
##     Alignment        -0.166    0.188   -0.878    0.380   -0.166   -0.070
##     Risk              0.054    0.047    1.164    0.245    0.054    0.096
##     ProductImprtnc    0.121    0.056    2.145    0.032    0.121    0.205
##     PriceQuality     -0.020    0.049   -0.411    0.681   -0.020   -0.035
##     AnnualExpenses   -0.004    0.005   -0.666    0.506   -0.004   -0.059
##     PageSubmitStml   -0.003    0.006   -0.539    0.590   -0.003   -0.044
##     FrqPrchPrdctOn    0.045    0.062    0.722    0.471    0.045    0.065
##     PeersExperts     -0.050    0.041   -1.219    0.223   -0.050   -0.101
##     Age               0.007    0.010    0.734    0.463    0.007    0.060
##     Gender            0.481    0.193    2.493    0.013    0.481    0.204
##     ClicksStimuli    -0.109    0.123   -0.889    0.374   -0.109   -0.091
##     LocationLatitd    0.012    0.017    0.705    0.481    0.012    0.058
##     LocationLongtd    0.002    0.003    0.584    0.559    0.002    0.046
##     t1Stimuli         0.000    0.020    0.005    0.996    0.000    0.000
##     t2Stimuli         0.006    0.004    1.390    0.165    0.006    0.145
##     Threshold        -0.003    0.002   -1.783    0.075   -0.003   -0.160
##     t7_2              0.006    0.010    0.575    0.565    0.006    0.052
##   PurchInt ~                                                            
##     Quality           0.615    0.109    5.627    0.000    0.615    0.377
##     Alignment        -0.097    0.257   -0.378    0.706   -0.097   -0.025
##     Risk              0.000    0.065    0.007    0.995    0.000    0.000
##     ProductImprtnc   -0.002    0.079   -0.021    0.983   -0.002   -0.002
##     PriceQuality      0.034    0.069    0.497    0.619    0.034    0.036
##     AnnualExpenses    0.004    0.008    0.534    0.593    0.004    0.041
##     PageSubmitStml   -0.000    0.008   -0.028    0.977   -0.000   -0.002
##     FrqPrchPrdctOn    0.281    0.087    3.230    0.001    0.281    0.249
##     PeersExperts      0.211    0.058    3.635    0.000    0.211    0.258
##     Age              -0.003    0.014   -0.191    0.848   -0.003   -0.013
##     Gender           -0.165    0.274   -0.602    0.547   -0.165   -0.043
##     ClicksStimuli     0.176    0.172    1.027    0.304    0.176    0.090
##     LocationLatitd    0.008    0.024    0.343    0.731    0.008    0.024
##     LocationLongtd    0.007    0.004    1.558    0.119    0.007    0.105
##     t1Stimuli        -0.031    0.027   -1.111    0.266   -0.031   -0.082
##     t2Stimuli        -0.010    0.006   -1.744    0.081   -0.010   -0.156
##     Threshold         0.001    0.002    0.266    0.790    0.001    0.021
##     t7_2             -0.013    0.014   -0.971    0.331   -0.013   -0.076
##   WOM ~                                                                 
##     Quality           0.862    0.114    7.560    0.000    0.862    0.507
##     Alignment         0.036    0.268    0.133    0.894    0.036    0.009
##     Risk             -0.077    0.068   -1.137    0.256   -0.077   -0.080
##     ProductImprtnc    0.082    0.083    0.988    0.323    0.082    0.082
##     PriceQuality      0.006    0.072    0.089    0.929    0.006    0.007
##     AnnualExpenses    0.005    0.008    0.584    0.559    0.005    0.045
##     PageSubmitStml   -0.003    0.008   -0.369    0.712   -0.003   -0.026
##     FrqPrchPrdctOn    0.107    0.091    1.176    0.240    0.107    0.091
##     PeersExperts      0.079    0.060    1.313    0.189    0.079    0.093
##     Age               0.006    0.015    0.434    0.665    0.006    0.030
##     Gender            0.121    0.286    0.425    0.671    0.121    0.030
##     ClicksStimuli     0.129    0.179    0.720    0.472    0.129    0.063
##     LocationLatitd    0.018    0.025    0.745    0.456    0.018    0.052
##     LocationLongtd    0.010    0.005    2.045    0.041    0.010    0.138
##     t1Stimuli        -0.014    0.029   -0.499    0.618   -0.014   -0.037
##     t2Stimuli         0.002    0.006    0.350    0.726    0.002    0.031
##     Threshold         0.000    0.002    0.008    0.994    0.000    0.001
##     t7_2              0.023    0.014    1.651    0.099    0.023    0.129
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##  .PurchInt ~~                                                           
##    .WOM               1.556    0.229    6.803    0.000    1.556    0.641
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .FreqUseSMP        3.948    0.443    8.916    0.000    3.948    0.898
##    .Quality           1.199    0.135    8.916    0.000    1.199    0.867
##    .PurchInt          2.327    0.261    8.916    0.000    2.327    0.631
##    .WOM               2.534    0.284    8.916    0.000    2.534    0.634
## 
## R-Square:
##                    Estimate
##     FreqUseSMP        0.102
##     Quality           0.133
##     PurchInt          0.369
##     WOM               0.366
coef(fit)
##            FreqUseSMP~Alignment                 FreqUseSMP~Risk 
##                           0.908                           0.150 
##    FreqUseSMP~ProductImportance              Quality~FreqUseSMP 
##                           0.157                           0.081 
##               Quality~Alignment                    Quality~Risk 
##                          -0.166                           0.054 
##       Quality~ProductImportance            Quality~PriceQuality 
##                           0.121                          -0.020 
##          Quality~AnnualExpenses       Quality~PageSubmitStimuli 
##                          -0.004                          -0.003 
##  Quality~FreqPurchProductOnline            Quality~PeersExperts 
##                           0.045                          -0.050 
##                     Quality~Age                  Quality~Gender 
##                           0.007                           0.481 
##           Quality~ClicksStimuli        Quality~LocationLatitude 
##                          -0.109                           0.012 
##       Quality~LocationLongitude               Quality~t1Stimuli 
##                           0.002                           0.000 
##               Quality~t2Stimuli               Quality~Threshold 
##                           0.006                          -0.003 
##                    Quality~t7_2                PurchInt~Quality 
##                           0.006                           0.615 
##              PurchInt~Alignment                   PurchInt~Risk 
##                          -0.097                           0.000 
##      PurchInt~ProductImportance           PurchInt~PriceQuality 
##                          -0.002                           0.034 
##         PurchInt~AnnualExpenses      PurchInt~PageSubmitStimuli 
##                           0.004                           0.000 
## PurchInt~FreqPurchProductOnline           PurchInt~PeersExperts 
##                           0.281                           0.211 
##                    PurchInt~Age                 PurchInt~Gender 
##                          -0.003                          -0.165 
##          PurchInt~ClicksStimuli       PurchInt~LocationLatitude 
##                           0.176                           0.008 
##      PurchInt~LocationLongitude              PurchInt~t1Stimuli 
##                           0.007                          -0.031 
##              PurchInt~t2Stimuli              PurchInt~Threshold 
##                          -0.010                           0.001 
##                   PurchInt~t7_2                     WOM~Quality 
##                          -0.013                           0.862 
##                   WOM~Alignment                        WOM~Risk 
##                           0.036                          -0.077 
##           WOM~ProductImportance                WOM~PriceQuality 
##                           0.082                           0.006 
##              WOM~AnnualExpenses           WOM~PageSubmitStimuli 
##                           0.005                          -0.003 
##      WOM~FreqPurchProductOnline                WOM~PeersExperts 
##                           0.107                           0.079 
##                         WOM~Age                      WOM~Gender 
##                           0.006                           0.121 
##               WOM~ClicksStimuli            WOM~LocationLatitude 
##                           0.129                           0.018 
##           WOM~LocationLongitude                   WOM~t1Stimuli 
##                           0.010                          -0.014 
##                   WOM~t2Stimuli                   WOM~Threshold 
##                           0.002                           0.000 
##                        WOM~t7_2          FreqUseSMP~~FreqUseSMP 
##                           0.023                           3.948 
##                Quality~~Quality              PurchInt~~PurchInt 
##                           1.199                           2.327 
##                        WOM~~WOM                   PurchInt~~WOM 
##                           2.534                           1.556
standardizedSolution(fit)
##                        lhs op                    rhs est.std    se      z
## 1               FreqUseSMP  ~              Alignment   0.216 0.073  2.967
## 2               FreqUseSMP  ~                   Risk   0.149 0.074  2.008
## 3               FreqUseSMP  ~      ProductImportance   0.150 0.074  2.015
## 4                  Quality  ~             FreqUseSMP   0.145 0.077  1.876
## 5                  Quality  ~              Alignment  -0.070 0.080 -0.881
## 6                  Quality  ~                   Risk   0.096 0.082  1.170
## 7                  Quality  ~      ProductImportance   0.205 0.094  2.184
## 8                  Quality  ~           PriceQuality  -0.035 0.086 -0.412
## 9                  Quality  ~         AnnualExpenses  -0.059 0.089 -0.667
## 10                 Quality  ~      PageSubmitStimuli  -0.044 0.081 -0.540
## 11                 Quality  ~ FreqPurchProductOnline   0.065 0.090  0.723
## 12                 Quality  ~           PeersExperts  -0.101 0.082 -1.226
## 13                 Quality  ~                    Age   0.060 0.081  0.735
## 14                 Quality  ~                 Gender   0.204 0.080  2.556
## 15                 Quality  ~          ClicksStimuli  -0.091 0.103 -0.892
## 16                 Quality  ~       LocationLatitude   0.058 0.082  0.706
## 17                 Quality  ~      LocationLongitude   0.046 0.079  0.584
## 18                 Quality  ~              t1Stimuli   0.000 0.086  0.005
## 19                 Quality  ~              t2Stimuli   0.145 0.103  1.400
## 20                 Quality  ~              Threshold  -0.160 0.089 -1.805
## 21                 Quality  ~                   t7_2   0.052 0.091  0.576
## 22                PurchInt  ~                Quality   0.377 0.064  5.894
## 23                PurchInt  ~              Alignment  -0.025 0.067 -0.378
## 24                PurchInt  ~                   Risk   0.000 0.070  0.007
## 25                PurchInt  ~      ProductImportance  -0.002 0.082 -0.021
## 26                PurchInt  ~           PriceQuality   0.036 0.073  0.497
## 27                PurchInt  ~         AnnualExpenses   0.041 0.076  0.535
## 28                PurchInt  ~      PageSubmitStimuli  -0.002 0.070 -0.028
## 29                PurchInt  ~ FreqPurchProductOnline   0.249 0.075  3.317
## 30                PurchInt  ~           PeersExperts   0.258 0.069  3.761
## 31                PurchInt  ~                    Age  -0.013 0.069 -0.191
## 32                PurchInt  ~                 Gender  -0.043 0.071 -0.602
## 33                PurchInt  ~          ClicksStimuli   0.090 0.088  1.030
## 34                PurchInt  ~       LocationLatitude   0.024 0.070  0.343
## 35                PurchInt  ~      LocationLongitude   0.105 0.067  1.568
## 36                PurchInt  ~              t1Stimuli  -0.082 0.073 -1.115
## 37                PurchInt  ~              t2Stimuli  -0.156 0.089 -1.757
## 38                PurchInt  ~              Threshold   0.021 0.077  0.266
## 39                PurchInt  ~                   t7_2  -0.076 0.078 -0.974
## 40                     WOM  ~                Quality   0.507 0.060  8.465
## 41                     WOM  ~              Alignment   0.009 0.067  0.133
## 42                     WOM  ~                   Risk  -0.080 0.070 -1.140
## 43                     WOM  ~      ProductImportance   0.082 0.082  0.990
## 44                     WOM  ~           PriceQuality   0.007 0.073  0.089
## 45                     WOM  ~         AnnualExpenses   0.045 0.076  0.585
## 46                     WOM  ~      PageSubmitStimuli  -0.026 0.070 -0.369
## 47                     WOM  ~ FreqPurchProductOnline   0.091 0.077  1.180
## 48                     WOM  ~           PeersExperts   0.093 0.071  1.319
## 49                     WOM  ~                    Age   0.030 0.069  0.434
## 50                     WOM  ~                 Gender   0.030 0.071  0.425
## 51                     WOM  ~          ClicksStimuli   0.063 0.088  0.721
## 52                     WOM  ~       LocationLatitude   0.052 0.070  0.746
## 53                     WOM  ~      LocationLongitude   0.138 0.067  2.066
## 54                     WOM  ~              t1Stimuli  -0.037 0.074 -0.499
## 55                     WOM  ~              t2Stimuli   0.031 0.090  0.350
## 56                     WOM  ~              Threshold   0.001 0.077  0.008
## 57                     WOM  ~                   t7_2   0.129 0.077  1.662
## 58              FreqUseSMP ~~             FreqUseSMP   0.898 0.044 20.225
## 59                 Quality ~~                Quality   0.867 0.049 17.863
## 60                PurchInt ~~               PurchInt   0.631 0.058 10.832
## 61                     WOM ~~                    WOM   0.634 0.060 10.567
## 62                PurchInt ~~                    WOM   0.641 0.047 13.705
## 63               Alignment ~~              Alignment   1.000 0.000     NA
## 64               Alignment ~~                   Risk   0.067 0.000     NA
## 65               Alignment ~~      ProductImportance   0.076 0.000     NA
## 66               Alignment ~~           PriceQuality  -0.150 0.000     NA
## 67               Alignment ~~         AnnualExpenses  -0.005 0.000     NA
## 68               Alignment ~~      PageSubmitStimuli   0.030 0.000     NA
## 69               Alignment ~~ FreqPurchProductOnline   0.046 0.000     NA
## 70               Alignment ~~           PeersExperts   0.079 0.000     NA
## 71               Alignment ~~                    Age   0.127 0.000     NA
## 72               Alignment ~~                 Gender   0.019 0.000     NA
## 73               Alignment ~~          ClicksStimuli  -0.010 0.000     NA
## 74               Alignment ~~       LocationLatitude   0.060 0.000     NA
## 75               Alignment ~~      LocationLongitude  -0.031 0.000     NA
## 76               Alignment ~~              t1Stimuli  -0.050 0.000     NA
## 77               Alignment ~~              t2Stimuli   0.041 0.000     NA
## 78               Alignment ~~              Threshold  -0.077 0.000     NA
## 79               Alignment ~~                   t7_2   0.064 0.000     NA
## 80                    Risk ~~                   Risk   1.000 0.000     NA
## 81                    Risk ~~      ProductImportance   0.042 0.000     NA
## 82                    Risk ~~           PriceQuality   0.012 0.000     NA
## 83                    Risk ~~         AnnualExpenses   0.076 0.000     NA
## 84                    Risk ~~      PageSubmitStimuli   0.025 0.000     NA
## 85                    Risk ~~ FreqPurchProductOnline  -0.035 0.000     NA
## 86                    Risk ~~           PeersExperts   0.183 0.000     NA
## 87                    Risk ~~                    Age   0.100 0.000     NA
## 88                    Risk ~~                 Gender  -0.133 0.000     NA
## 89                    Risk ~~          ClicksStimuli  -0.082 0.000     NA
## 90                    Risk ~~       LocationLatitude  -0.245 0.000     NA
## 91                    Risk ~~      LocationLongitude   0.162 0.000     NA
## 92                    Risk ~~              t1Stimuli   0.021 0.000     NA
## 93                    Risk ~~              t2Stimuli   0.033 0.000     NA
## 94                    Risk ~~              Threshold  -0.031 0.000     NA
## 95                    Risk ~~                   t7_2   0.014 0.000     NA
## 96       ProductImportance ~~      ProductImportance   1.000 0.000     NA
## 97       ProductImportance ~~           PriceQuality   0.215 0.000     NA
## 98       ProductImportance ~~         AnnualExpenses   0.420 0.000     NA
## 99       ProductImportance ~~      PageSubmitStimuli   0.112 0.000     NA
## 100      ProductImportance ~~ FreqPurchProductOnline   0.486 0.000     NA
## 101      ProductImportance ~~           PeersExperts   0.137 0.000     NA
## 102      ProductImportance ~~                    Age   0.064 0.000     NA
## 103      ProductImportance ~~                 Gender  -0.244 0.000     NA
## 104      ProductImportance ~~          ClicksStimuli  -0.019 0.000     NA
## 105      ProductImportance ~~       LocationLatitude  -0.068 0.000     NA
## 106      ProductImportance ~~      LocationLongitude   0.007 0.000     NA
## 107      ProductImportance ~~              t1Stimuli   0.034 0.000     NA
## 108      ProductImportance ~~              t2Stimuli   0.012 0.000     NA
## 109      ProductImportance ~~              Threshold   0.038 0.000     NA
## 110      ProductImportance ~~                   t7_2   0.031 0.000     NA
## 111           PriceQuality ~~           PriceQuality   1.000 0.000     NA
## 112           PriceQuality ~~         AnnualExpenses   0.157 0.000     NA
## 113           PriceQuality ~~      PageSubmitStimuli   0.041 0.000     NA
## 114           PriceQuality ~~ FreqPurchProductOnline   0.306 0.000     NA
## 115           PriceQuality ~~           PeersExperts   0.211 0.000     NA
## 116           PriceQuality ~~                    Age   0.166 0.000     NA
## 117           PriceQuality ~~                 Gender   0.052 0.000     NA
## 118           PriceQuality ~~          ClicksStimuli  -0.110 0.000     NA
## 119           PriceQuality ~~       LocationLatitude  -0.128 0.000     NA
## 120           PriceQuality ~~      LocationLongitude  -0.027 0.000     NA
## 121           PriceQuality ~~              t1Stimuli   0.034 0.000     NA
## 122           PriceQuality ~~              t2Stimuli  -0.087 0.000     NA
## 123           PriceQuality ~~              Threshold  -0.083 0.000     NA
## 124           PriceQuality ~~                   t7_2  -0.032 0.000     NA
## 125         AnnualExpenses ~~         AnnualExpenses   1.000 0.000     NA
## 126         AnnualExpenses ~~      PageSubmitStimuli  -0.062 0.000     NA
## 127         AnnualExpenses ~~ FreqPurchProductOnline   0.275 0.000     NA
## 128         AnnualExpenses ~~           PeersExperts  -0.003 0.000     NA
## 129         AnnualExpenses ~~                    Age  -0.153 0.000     NA
## 130         AnnualExpenses ~~                 Gender  -0.064 0.000     NA
## 131         AnnualExpenses ~~          ClicksStimuli   0.052 0.000     NA
## 132         AnnualExpenses ~~       LocationLatitude  -0.045 0.000     NA
## 133         AnnualExpenses ~~      LocationLongitude  -0.075 0.000     NA
## 134         AnnualExpenses ~~              t1Stimuli   0.070 0.000     NA
## 135         AnnualExpenses ~~              t2Stimuli   0.100 0.000     NA
## 136         AnnualExpenses ~~              Threshold   0.189 0.000     NA
## 137         AnnualExpenses ~~                   t7_2   0.074 0.000     NA
## 138      PageSubmitStimuli ~~      PageSubmitStimuli   1.000 0.000     NA
## 139      PageSubmitStimuli ~~ FreqPurchProductOnline   0.011 0.000     NA
## 140      PageSubmitStimuli ~~           PeersExperts  -0.044 0.000     NA
## 141      PageSubmitStimuli ~~                    Age   0.136 0.000     NA
## 142      PageSubmitStimuli ~~                 Gender  -0.028 0.000     NA
## 143      PageSubmitStimuli ~~          ClicksStimuli  -0.021 0.000     NA
## 144      PageSubmitStimuli ~~       LocationLatitude   0.066 0.000     NA
## 145      PageSubmitStimuli ~~      LocationLongitude  -0.012 0.000     NA
## 146      PageSubmitStimuli ~~              t1Stimuli   0.256 0.000     NA
## 147      PageSubmitStimuli ~~              t2Stimuli   0.132 0.000     NA
## 148      PageSubmitStimuli ~~              Threshold   0.056 0.000     NA
## 149      PageSubmitStimuli ~~                   t7_2   0.295 0.000     NA
## 150 FreqPurchProductOnline ~~ FreqPurchProductOnline   1.000 0.000     NA
## 151 FreqPurchProductOnline ~~           PeersExperts   0.036 0.000     NA
## 152 FreqPurchProductOnline ~~                    Age   0.120 0.000     NA
## 153 FreqPurchProductOnline ~~                 Gender  -0.198 0.000     NA
## 154 FreqPurchProductOnline ~~          ClicksStimuli  -0.066 0.000     NA
## 155 FreqPurchProductOnline ~~       LocationLatitude  -0.020 0.000     NA
## 156 FreqPurchProductOnline ~~      LocationLongitude   0.066 0.000     NA
## 157 FreqPurchProductOnline ~~              t1Stimuli  -0.059 0.000     NA
## 158 FreqPurchProductOnline ~~              t2Stimuli  -0.038 0.000     NA
## 159 FreqPurchProductOnline ~~              Threshold  -0.007 0.000     NA
## 160 FreqPurchProductOnline ~~                   t7_2  -0.012 0.000     NA
## 161           PeersExperts ~~           PeersExperts   1.000 0.000     NA
## 162           PeersExperts ~~                    Age  -0.031 0.000     NA
## 163           PeersExperts ~~                 Gender   0.125 0.000     NA
## 164           PeersExperts ~~          ClicksStimuli   0.063 0.000     NA
## 165           PeersExperts ~~       LocationLatitude  -0.199 0.000     NA
## 166           PeersExperts ~~      LocationLongitude   0.129 0.000     NA
## 167           PeersExperts ~~              t1Stimuli  -0.167 0.000     NA
## 168           PeersExperts ~~              t2Stimuli   0.007 0.000     NA
## 169           PeersExperts ~~              Threshold  -0.143 0.000     NA
## 170           PeersExperts ~~                   t7_2  -0.147 0.000     NA
## 171                    Age ~~                    Age   1.000 0.000     NA
## 172                    Age ~~                 Gender  -0.129 0.000     NA
## 173                    Age ~~          ClicksStimuli   0.031 0.000     NA
## 174                    Age ~~       LocationLatitude   0.087 0.000     NA
## 175                    Age ~~      LocationLongitude   0.024 0.000     NA
## 176                    Age ~~              t1Stimuli   0.127 0.000     NA
## 177                    Age ~~              t2Stimuli   0.085 0.000     NA
## 178                    Age ~~              Threshold   0.044 0.000     NA
## 179                    Age ~~                   t7_2   0.076 0.000     NA
## 180                 Gender ~~                 Gender   1.000 0.000     NA
## 181                 Gender ~~          ClicksStimuli  -0.035 0.000     NA
## 182                 Gender ~~       LocationLatitude  -0.066 0.000     NA
## 183                 Gender ~~      LocationLongitude   0.065 0.000     NA
## 184                 Gender ~~              t1Stimuli  -0.017 0.000     NA
## 185                 Gender ~~              t2Stimuli  -0.081 0.000     NA
## 186                 Gender ~~              Threshold  -0.137 0.000     NA
## 187                 Gender ~~                   t7_2   0.018 0.000     NA
## 188          ClicksStimuli ~~          ClicksStimuli   1.000 0.000     NA
## 189          ClicksStimuli ~~       LocationLatitude   0.032 0.000     NA
## 190          ClicksStimuli ~~      LocationLongitude   0.006 0.000     NA
## 191          ClicksStimuli ~~              t1Stimuli   0.177 0.000     NA
## 192          ClicksStimuli ~~              t2Stimuli   0.660 0.000     NA
## 193          ClicksStimuli ~~              Threshold   0.145 0.000     NA
## 194          ClicksStimuli ~~                   t7_2  -0.102 0.000     NA
## 195       LocationLatitude ~~       LocationLatitude   1.000 0.000     NA
## 196       LocationLatitude ~~      LocationLongitude  -0.246 0.000     NA
## 197       LocationLatitude ~~              t1Stimuli   0.096 0.000     NA
## 198       LocationLatitude ~~              t2Stimuli   0.041 0.000     NA
## 199       LocationLatitude ~~              Threshold   0.161 0.000     NA
## 200       LocationLatitude ~~                   t7_2   0.055 0.000     NA
## 201      LocationLongitude ~~      LocationLongitude   1.000 0.000     NA
## 202      LocationLongitude ~~              t1Stimuli  -0.047 0.000     NA
## 203      LocationLongitude ~~              t2Stimuli   0.001 0.000     NA
## 204      LocationLongitude ~~              Threshold   0.021 0.000     NA
## 205      LocationLongitude ~~                   t7_2  -0.061 0.000     NA
## 206              t1Stimuli ~~              t1Stimuli   1.000 0.000     NA
## 207              t1Stimuli ~~              t2Stimuli   0.302 0.000     NA
## 208              t1Stimuli ~~              Threshold   0.286 0.000     NA
## 209              t1Stimuli ~~                   t7_2   0.335 0.000     NA
## 210              t2Stimuli ~~              t2Stimuli   1.000 0.000     NA
## 211              t2Stimuli ~~              Threshold   0.195 0.000     NA
## 212              t2Stimuli ~~                   t7_2   0.043 0.000     NA
## 213              Threshold ~~              Threshold   1.000 0.000     NA
## 214              Threshold ~~                   t7_2   0.429 0.000     NA
## 215                   t7_2 ~~                   t7_2   1.000 0.000     NA
##     pvalue
## 1    0.003
## 2    0.045
## 3    0.044
## 4    0.061
## 5    0.378
## 6    0.242
## 7    0.029
## 8    0.681
## 9    0.505
## 10   0.589
## 11   0.470
## 12   0.220
## 13   0.462
## 14   0.011
## 15   0.372
## 16   0.480
## 17   0.559
## 18   0.996
## 19   0.161
## 20   0.071
## 21   0.565
## 22   0.000
## 23   0.706
## 24   0.995
## 25   0.983
## 26   0.619
## 27   0.593
## 28   0.977
## 29   0.001
## 30   0.000
## 31   0.848
## 32   0.547
## 33   0.303
## 34   0.731
## 35   0.117
## 36   0.265
## 37   0.079
## 38   0.790
## 39   0.330
## 40   0.000
## 41   0.894
## 42   0.254
## 43   0.322
## 44   0.929
## 45   0.559
## 46   0.712
## 47   0.238
## 48   0.187
## 49   0.664
## 50   0.670
## 51   0.471
## 52   0.456
## 53   0.039
## 54   0.618
## 55   0.726
## 56   0.994
## 57   0.097
## 58   0.000
## 59   0.000
## 60   0.000
## 61   0.000
## 62   0.000
## 63      NA
## 64      NA
## 65      NA
## 66      NA
## 67      NA
## 68      NA
## 69      NA
## 70      NA
## 71      NA
## 72      NA
## 73      NA
## 74      NA
## 75      NA
## 76      NA
## 77      NA
## 78      NA
## 79      NA
## 80      NA
## 81      NA
## 82      NA
## 83      NA
## 84      NA
## 85      NA
## 86      NA
## 87      NA
## 88      NA
## 89      NA
## 90      NA
## 91      NA
## 92      NA
## 93      NA
## 94      NA
## 95      NA
## 96      NA
## 97      NA
## 98      NA
## 99      NA
## 100     NA
## 101     NA
## 102     NA
## 103     NA
## 104     NA
## 105     NA
## 106     NA
## 107     NA
## 108     NA
## 109     NA
## 110     NA
## 111     NA
## 112     NA
## 113     NA
## 114     NA
## 115     NA
## 116     NA
## 117     NA
## 118     NA
## 119     NA
## 120     NA
## 121     NA
## 122     NA
## 123     NA
## 124     NA
## 125     NA
## 126     NA
## 127     NA
## 128     NA
## 129     NA
## 130     NA
## 131     NA
## 132     NA
## 133     NA
## 134     NA
## 135     NA
## 136     NA
## 137     NA
## 138     NA
## 139     NA
## 140     NA
## 141     NA
## 142     NA
## 143     NA
## 144     NA
## 145     NA
## 146     NA
## 147     NA
## 148     NA
## 149     NA
## 150     NA
## 151     NA
## 152     NA
## 153     NA
## 154     NA
## 155     NA
## 156     NA
## 157     NA
## 158     NA
## 159     NA
## 160     NA
## 161     NA
## 162     NA
## 163     NA
## 164     NA
## 165     NA
## 166     NA
## 167     NA
## 168     NA
## 169     NA
## 170     NA
## 171     NA
## 172     NA
## 173     NA
## 174     NA
## 175     NA
## 176     NA
## 177     NA
## 178     NA
## 179     NA
## 180     NA
## 181     NA
## 182     NA
## 183     NA
## 184     NA
## 185     NA
## 186     NA
## 187     NA
## 188     NA
## 189     NA
## 190     NA
## 191     NA
## 192     NA
## 193     NA
## 194     NA
## 195     NA
## 196     NA
## 197     NA
## 198     NA
## 199     NA
## 200     NA
## 201     NA
## 202     NA
## 203     NA
## 204     NA
## 205     NA
## 206     NA
## 207     NA
## 208     NA
## 209     NA
## 210     NA
## 211     NA
## 212     NA
## 213     NA
## 214     NA
## 215     NA
semPaths(fit,"std",edge.label.cex=1,curvePivot=T,covAtResiduals=F,residuals=F,fade=F)

inspect(fit,"theta")
##                        FrUSMP   Qualty   PrchIn   WOM      Algnmn  
## FreqUseSMP                3.948                                    
## Quality                   0.000    1.199                           
## PurchInt                  0.000    0.000    2.327                  
## WOM                       0.000    0.000    1.556    2.534         
## Alignment                 0.000    0.000    0.000    0.000    0.250
## Risk                      0.000    0.000    0.000    0.000    0.070
## ProductImportance         0.000    0.000    0.000    0.000    0.076
## PriceQuality              0.000    0.000    0.000    0.000   -0.154
## AnnualExpenses            0.000    0.000    0.000    0.000   -0.046
## PageSubmitStimuli         0.000    0.000    0.000    0.000    0.256
## FreqPurchProductOnline    0.000    0.000    0.000    0.000    0.039
## PeersExperts              0.000    0.000    0.000    0.000    0.092
## Age                       0.000    0.000    0.000    0.000    0.603
## Gender                    0.000    0.000    0.000    0.000    0.005
## ClicksStimuli             0.000    0.000    0.000    0.000   -0.005
## LocationLatitude          0.000    0.000    0.000    0.000    0.171
## LocationLongitude         0.000    0.000    0.000    0.000   -0.452
## t1Stimuli                 0.000    0.000    0.000    0.000   -0.127
## t2Stimuli                 0.000    0.000    0.000    0.000    0.600
## Threshold                 0.000    0.000    0.000    0.000   -2.417
## t7_2                      0.000    0.000    0.000    0.000    0.352
##                        Risk     PrdctI   PrcQlt   AnnlEx   PgSbmS  
## FreqUseSMP                                                         
## Quality                                                            
## PurchInt                                                           
## WOM                                                                
## Alignment                                                          
## Risk                      4.309                                    
## ProductImportance         0.173    3.984                           
## PriceQuality              0.050    0.876    4.187                  
## AnnualExpenses            3.070   16.220    6.216  374.215         
## PageSubmitStimuli         0.878    3.751    1.395  -20.319  283.059
## FreqPurchProductOnline   -0.122    1.648    1.064    9.054    0.308
## PeersExperts              0.892    0.642    1.016   -0.145   -1.757
## Age                       1.984    1.208    3.231  -28.206   21.810
## Gender                   -0.138   -0.243    0.053   -0.614   -0.238
## ClicksStimuli            -0.168   -0.037   -0.222    0.993   -0.351
## LocationLatitude         -2.897   -0.773   -1.494   -4.972    6.341
## LocationLongitude         9.701    0.410   -1.568  -41.598   -5.957
## t1Stimuli                 0.223    0.348    0.353    6.968   22.145
## t2Stimuli                 2.022    0.703   -5.195   56.306   64.921
## Threshold                -4.088    4.803  -10.646  229.003   58.746
## t7_2                      0.310    0.676   -0.709   15.733   54.392
##                        FrqPPO   PrsExp   Age      Gender   ClcksS  
## FreqUseSMP                                                         
## Quality                                                            
## PurchInt                                                           
## WOM                                                                
## Alignment                                                          
## Risk                                                               
## ProductImportance                                                  
## PriceQuality                                                       
## AnnualExpenses                                                     
## PageSubmitStimuli                                                  
## FreqPurchProductOnline    2.890                                    
## PeersExperts              0.145    5.535                           
## Age                       1.946   -0.685   90.726                  
## Gender                   -0.168    0.147   -0.612    0.249         
## ClicksStimuli            -0.110    0.145    0.286   -0.017    0.967
## LocationLatitude         -0.191   -2.669    4.694   -0.186    0.179
## LocationLongitude         3.226    8.764    6.611    0.942    0.157
## t1Stimuli                -0.516   -2.019    6.225   -0.043    0.892
## t2Stimuli                -1.899    0.477   23.753   -1.178   18.924
## Threshold                -0.735  -21.077   26.159   -4.262    8.927
## t7_2                     -0.232   -3.799    7.923    0.098   -1.105
##                        LctnLt   LctnLn   t1Stml   t2Stml   Thrshl  
## FreqUseSMP                                                         
## Quality                                                            
## PurchInt                                                           
## WOM                                                                
## Alignment                                                          
## Risk                                                               
## ProductImportance                                                  
## PriceQuality                                                       
## AnnualExpenses                                                     
## PageSubmitStimuli                                                  
## FreqPurchProductOnline                                             
## PeersExperts                                                       
## Age                                                                
## Gender                                                             
## ClicksStimuli                                                      
## LocationLatitude         32.458                                    
## LocationLongitude       -40.398  832.226                           
## t1Stimuli                 2.813   -7.020   26.367                  
## t2Stimuli                 6.892    0.789   45.235  851.397         
## Threshold                57.577   38.158   91.959  356.721 3916.373
## t7_2                      3.445  -19.287   18.861   13.832  294.176
##                        t7_2    
## FreqUseSMP                     
## Quality                        
## PurchInt                       
## WOM                            
## Alignment                      
## Risk                           
## ProductImportance              
## PriceQuality                   
## AnnualExpenses                 
## PageSubmitStimuli              
## FreqPurchProductOnline         
## PeersExperts                   
## Age                            
## Gender                         
## ClicksStimuli                  
## LocationLatitude               
## LocationLongitude              
## t1Stimuli                      
## t2Stimuli                      
## Threshold                      
## t7_2                    120.301
Model<-'FreqUseSMP~Alignment+Risk
Quality ~ FreqUseSMP + Alignment + Risk + PageSubmitStimuli+Age+Gender+ClicksStimuli+LocationLatitude+LocationLongitude+t1Stimuli+t2Stimuli+Threshold+t7_2
PurchInt ~ Quality + Alignment +Risk + +PageSubmitStimuli+Age+Gender+ClicksStimuli+LocationLatitude+LocationLongitude+t1Stimuli+t2Stimuli+Threshold+t7_2
WOM ~ Quality + Alignment + Risk +AnnualExpenses+PageSubmitStimuli+Age+Gender+ClicksStimuli+LocationLatitude+LocationLongitude+t1Stimuli+t2Stimuli+Threshold+t7_2'
fit<-sem(Model,data=MainStudyExperience)
fitMeasures(fit)
##                npar                fmin               chisq 
##              47.000               0.102              32.348 
##                  df              pvalue      baseline.chisq 
##              15.000               0.006             258.456 
##         baseline.df     baseline.pvalue                 cfi 
##              58.000               0.000               0.913 
##                 tli                nnfi                 rfi 
##               0.665               0.665               0.516 
##                 nfi                pnfi                 ifi 
##               0.875               0.226               0.929 
##                 rni                logl   unrestricted.logl 
##               0.913           -7760.981           -7744.807 
##                 aic                 bic              ntotal 
##           15615.962           15760.201             159.000 
##                bic2               rmsea      rmsea.ci.lower 
##           15611.420               0.085               0.044 
##      rmsea.ci.upper        rmsea.pvalue                 rmr 
##               0.126               0.074               1.360 
##          rmr_nomean                srmr        srmr_bentler 
##               1.360               0.033               0.033 
## srmr_bentler_nomean         srmr_bollen  srmr_bollen_nomean 
##               0.033               0.033               0.033 
##          srmr_mplus   srmr_mplus_nomean               cn_05 
##               0.033               0.033             123.864 
##               cn_01                 gfi                agfi 
##             151.302               0.913               0.117 
##                pgfi                 mfi                ecvi 
##               0.090               0.947               0.795
summary(fit,standardized=T,fit.measures=T,rsq=T)
## lavaan (0.5-22) converged normally after 133 iterations
## 
##   Number of observations                           159
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic               32.348
##   Degrees of freedom                                15
##   P-value (Chi-square)                           0.006
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic              258.456
##   Degrees of freedom                                58
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.913
##   Tucker-Lewis Index (TLI)                       0.665
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)              -7760.981
##   Loglikelihood unrestricted model (H1)      -7744.807
## 
##   Number of free parameters                         47
##   Akaike (AIC)                               15615.962
##   Bayesian (BIC)                             15760.201
##   Sample-size adjusted Bayesian (BIC)        15611.420
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.085
##   90 Percent Confidence Interval          0.044  0.126
##   P-value RMSEA <= 0.05                          0.074
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.033
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   FreqUseSMP ~                                                          
##     Alignment         0.954    0.320    2.982    0.003    0.954    0.227
##     Risk              0.156    0.077    2.025    0.043    0.156    0.154
##   Quality ~                                                             
##     FreqUseSMP        0.100    0.044    2.267    0.023    0.100    0.179
##     Alignment        -0.140    0.188   -0.745    0.456   -0.140   -0.059
##     Risk              0.032    0.046    0.694    0.488    0.032    0.057
##     PageSubmitStml   -0.001    0.006   -0.205    0.838   -0.001   -0.017
##     Age               0.009    0.010    0.886    0.376    0.009    0.070
##     Gender            0.297    0.186    1.601    0.109    0.297    0.126
##     ClicksStimuli    -0.130    0.125   -1.040    0.298   -0.130   -0.108
##     LocationLatitd    0.011    0.017    0.635    0.526    0.011    0.052
##     LocationLongtd    0.002    0.003    0.616    0.538    0.002    0.049
##     t1Stimuli         0.003    0.020    0.158    0.875    0.003    0.014
##     t2Stimuli         0.006    0.004    1.321    0.186    0.006    0.140
##     Threshold        -0.003    0.002   -1.784    0.075   -0.003   -0.161
##     t7_2              0.006    0.010    0.613    0.540    0.006    0.057
##   PurchInt ~                                                            
##     Quality           0.661    0.117    5.634    0.000    0.661    0.404
##     Alignment        -0.002    0.275   -0.008    0.994   -0.002   -0.001
##     Risk              0.017    0.069    0.245    0.807    0.017    0.018
##     PageSubmitStml    0.001    0.009    0.076    0.939    0.001    0.006
##     Age               0.002    0.015    0.118    0.906    0.002    0.009
##     Gender           -0.247    0.281   -0.878    0.380   -0.247   -0.064
##     ClicksStimuli     0.194    0.188    1.031    0.302    0.194    0.099
##     LocationLatitd   -0.009    0.026   -0.361    0.718   -0.009   -0.027
##     LocationLongtd    0.009    0.005    1.792    0.073    0.009    0.131
##     t1Stimuli        -0.047    0.030   -1.573    0.116   -0.047   -0.125
##     t2Stimuli        -0.010    0.006   -1.614    0.106   -0.010   -0.159
##     Threshold         0.001    0.003    0.212    0.832    0.001    0.018
##     t7_2             -0.017    0.015   -1.155    0.248   -0.017   -0.099
##   WOM ~                                                                 
##     Quality           0.907    0.114    7.994    0.000    0.907    0.536
##     Alignment         0.106    0.266    0.399    0.690    0.106    0.027
##     Risk             -0.074    0.067   -1.108    0.268   -0.074   -0.077
##     AnnualExpenses    0.003    0.005    0.627    0.531    0.003    0.032
##     PageSubmitStml   -0.002    0.008   -0.191    0.849   -0.002   -0.013
##     Age               0.008    0.014    0.545    0.586    0.008    0.037
##     Gender           -0.002    0.272   -0.008    0.994   -0.002   -0.001
##     ClicksStimuli     0.137    0.182    0.752    0.452    0.137    0.068
##     LocationLatitd    0.009    0.025    0.350    0.727    0.009    0.025
##     LocationLongtd    0.010    0.005    2.161    0.031    0.010    0.148
##     t1Stimuli        -0.020    0.029   -0.690    0.490   -0.020   -0.051
##     t2Stimuli         0.002    0.006    0.289    0.772    0.002    0.027
##     Threshold         0.000    0.003    0.056    0.955    0.000    0.004
##     t7_2              0.021    0.015    1.480    0.139    0.021    0.118
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##  .PurchInt ~~                                                           
##    .WOM               1.798    0.261    6.894    0.000    1.798    0.653
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .FreqUseSMP        4.046    0.454    8.916    0.000    4.046    0.920
##    .Quality           1.261    0.141    8.916    0.000    1.261    0.909
##    .PurchInt          2.844    0.319    8.916    0.000    2.844    0.768
##    .WOM               2.665    0.299    8.916    0.000    2.665    0.670
## 
## R-Square:
##                    Estimate
##     FreqUseSMP        0.080
##     Quality           0.091
##     PurchInt          0.232
##     WOM               0.330
coef(fit)
##       FreqUseSMP~Alignment            FreqUseSMP~Risk 
##                      0.954                      0.156 
##         Quality~FreqUseSMP          Quality~Alignment 
##                      0.100                     -0.140 
##               Quality~Risk  Quality~PageSubmitStimuli 
##                      0.032                     -0.001 
##                Quality~Age             Quality~Gender 
##                      0.009                      0.297 
##      Quality~ClicksStimuli   Quality~LocationLatitude 
##                     -0.130                      0.011 
##  Quality~LocationLongitude          Quality~t1Stimuli 
##                      0.002                      0.003 
##          Quality~t2Stimuli          Quality~Threshold 
##                      0.006                     -0.003 
##               Quality~t7_2           PurchInt~Quality 
##                      0.006                      0.661 
##         PurchInt~Alignment              PurchInt~Risk 
##                     -0.002                      0.017 
## PurchInt~PageSubmitStimuli               PurchInt~Age 
##                      0.001                      0.002 
##            PurchInt~Gender     PurchInt~ClicksStimuli 
##                     -0.247                      0.194 
##  PurchInt~LocationLatitude PurchInt~LocationLongitude 
##                     -0.009                      0.009 
##         PurchInt~t1Stimuli         PurchInt~t2Stimuli 
##                     -0.047                     -0.010 
##         PurchInt~Threshold              PurchInt~t7_2 
##                      0.001                     -0.017 
##                WOM~Quality              WOM~Alignment 
##                      0.907                      0.106 
##                   WOM~Risk         WOM~AnnualExpenses 
##                     -0.074                      0.003 
##      WOM~PageSubmitStimuli                    WOM~Age 
##                     -0.002                      0.008 
##                 WOM~Gender          WOM~ClicksStimuli 
##                     -0.002                      0.137 
##       WOM~LocationLatitude      WOM~LocationLongitude 
##                      0.009                      0.010 
##              WOM~t1Stimuli              WOM~t2Stimuli 
##                     -0.020                      0.002 
##              WOM~Threshold                   WOM~t7_2 
##                      0.000                      0.021 
##     FreqUseSMP~~FreqUseSMP           Quality~~Quality 
##                      4.046                      1.261 
##         PurchInt~~PurchInt                   WOM~~WOM 
##                      2.844                      2.665 
##              PurchInt~~WOM 
##                      1.798
standardizedSolution(fit)
##                   lhs op               rhs est.std    se      z pvalue
## 1          FreqUseSMP  ~         Alignment   0.227 0.073  3.101  0.002
## 2          FreqUseSMP  ~              Risk   0.154 0.075  2.061  0.039
## 3             Quality  ~        FreqUseSMP   0.179 0.078  2.299  0.021
## 4             Quality  ~         Alignment  -0.059 0.080 -0.747  0.455
## 5             Quality  ~              Risk   0.057 0.082  0.695  0.487
## 6             Quality  ~ PageSubmitStimuli  -0.017 0.082 -0.205  0.838
## 7             Quality  ~               Age   0.070 0.078  0.889  0.374
## 8             Quality  ~            Gender   0.126 0.078  1.618  0.106
## 9             Quality  ~     ClicksStimuli  -0.108 0.104 -1.044  0.296
## 10            Quality  ~  LocationLatitude   0.052 0.082  0.636  0.525
## 11            Quality  ~ LocationLongitude   0.049 0.079  0.617  0.537
## 12            Quality  ~         t1Stimuli   0.014 0.087  0.158  0.875
## 13            Quality  ~         t2Stimuli   0.140 0.106  1.331  0.183
## 14            Quality  ~         Threshold  -0.161 0.089 -1.808  0.071
## 15            Quality  ~              t7_2   0.057 0.093  0.614  0.539
## 16           PurchInt  ~           Quality   0.404 0.067  6.070  0.000
## 17           PurchInt  ~         Alignment  -0.001 0.071 -0.008  0.994
## 18           PurchInt  ~              Risk   0.018 0.075  0.245  0.807
## 19           PurchInt  ~ PageSubmitStimuli   0.006 0.076  0.076  0.939
## 20           PurchInt  ~               Age   0.009 0.072  0.118  0.906
## 21           PurchInt  ~            Gender  -0.064 0.073 -0.880  0.379
## 22           PurchInt  ~     ClicksStimuli   0.099 0.096  1.035  0.301
## 23           PurchInt  ~  LocationLatitude  -0.027 0.076 -0.361  0.718
## 24           PurchInt  ~ LocationLongitude   0.131 0.072  1.811  0.070
## 25           PurchInt  ~         t1Stimuli  -0.125 0.079 -1.586  0.113
## 26           PurchInt  ~         t2Stimuli  -0.159 0.097 -1.628  0.103
## 27           PurchInt  ~         Threshold   0.018 0.084  0.212  0.832
## 28           PurchInt  ~              t7_2  -0.099 0.085 -1.160  0.246
## 29                WOM  ~           Quality   0.536 0.058  9.251  0.000
## 30                WOM  ~         Alignment   0.027 0.067  0.399  0.690
## 31                WOM  ~              Risk  -0.077 0.070 -1.112  0.266
## 32                WOM  ~    AnnualExpenses   0.032 0.052  0.627  0.531
## 33                WOM  ~ PageSubmitStimuli  -0.013 0.071 -0.191  0.849
## 34                WOM  ~               Age   0.037 0.068  0.545  0.586
## 35                WOM  ~            Gender  -0.001 0.068 -0.008  0.994
## 36                WOM  ~     ClicksStimuli   0.068 0.090  0.753  0.451
## 37                WOM  ~  LocationLatitude   0.025 0.071  0.350  0.726
## 38                WOM  ~ LocationLongitude   0.148 0.068  2.188  0.029
## 39                WOM  ~         t1Stimuli  -0.051 0.074 -0.691  0.490
## 40                WOM  ~         t2Stimuli   0.027 0.092  0.289  0.772
## 41                WOM  ~         Threshold   0.004 0.079  0.056  0.955
## 42                WOM  ~              t7_2   0.118 0.079  1.489  0.137
## 43         FreqUseSMP ~~        FreqUseSMP   0.920 0.040 22.718  0.000
## 44            Quality ~~           Quality   0.909 0.043 21.301  0.000
## 45           PurchInt ~~          PurchInt   0.768 0.058 13.181  0.000
## 46                WOM ~~               WOM   0.670 0.061 11.016  0.000
## 47           PurchInt ~~               WOM   0.653 0.045 14.353  0.000
## 48          Alignment ~~         Alignment   1.000 0.000     NA     NA
## 49          Alignment ~~              Risk   0.067 0.000     NA     NA
## 50          Alignment ~~ PageSubmitStimuli   0.030 0.000     NA     NA
## 51          Alignment ~~               Age   0.127 0.000     NA     NA
## 52          Alignment ~~            Gender   0.019 0.000     NA     NA
## 53          Alignment ~~     ClicksStimuli  -0.010 0.000     NA     NA
## 54          Alignment ~~  LocationLatitude   0.060 0.000     NA     NA
## 55          Alignment ~~ LocationLongitude  -0.031 0.000     NA     NA
## 56          Alignment ~~         t1Stimuli  -0.050 0.000     NA     NA
## 57          Alignment ~~         t2Stimuli   0.041 0.000     NA     NA
## 58          Alignment ~~         Threshold  -0.077 0.000     NA     NA
## 59          Alignment ~~              t7_2   0.064 0.000     NA     NA
## 60          Alignment ~~    AnnualExpenses  -0.005 0.000     NA     NA
## 61               Risk ~~              Risk   1.000 0.000     NA     NA
## 62               Risk ~~ PageSubmitStimuli   0.025 0.000     NA     NA
## 63               Risk ~~               Age   0.100 0.000     NA     NA
## 64               Risk ~~            Gender  -0.133 0.000     NA     NA
## 65               Risk ~~     ClicksStimuli  -0.082 0.000     NA     NA
## 66               Risk ~~  LocationLatitude  -0.245 0.000     NA     NA
## 67               Risk ~~ LocationLongitude   0.162 0.000     NA     NA
## 68               Risk ~~         t1Stimuli   0.021 0.000     NA     NA
## 69               Risk ~~         t2Stimuli   0.033 0.000     NA     NA
## 70               Risk ~~         Threshold  -0.031 0.000     NA     NA
## 71               Risk ~~              t7_2   0.014 0.000     NA     NA
## 72               Risk ~~    AnnualExpenses   0.076 0.000     NA     NA
## 73  PageSubmitStimuli ~~ PageSubmitStimuli   1.000 0.000     NA     NA
## 74  PageSubmitStimuli ~~               Age   0.136 0.000     NA     NA
## 75  PageSubmitStimuli ~~            Gender  -0.028 0.000     NA     NA
## 76  PageSubmitStimuli ~~     ClicksStimuli  -0.021 0.000     NA     NA
## 77  PageSubmitStimuli ~~  LocationLatitude   0.066 0.000     NA     NA
## 78  PageSubmitStimuli ~~ LocationLongitude  -0.012 0.000     NA     NA
## 79  PageSubmitStimuli ~~         t1Stimuli   0.256 0.000     NA     NA
## 80  PageSubmitStimuli ~~         t2Stimuli   0.132 0.000     NA     NA
## 81  PageSubmitStimuli ~~         Threshold   0.056 0.000     NA     NA
## 82  PageSubmitStimuli ~~              t7_2   0.295 0.000     NA     NA
## 83  PageSubmitStimuli ~~    AnnualExpenses  -0.062 0.000     NA     NA
## 84                Age ~~               Age   1.000 0.000     NA     NA
## 85                Age ~~            Gender  -0.129 0.000     NA     NA
## 86                Age ~~     ClicksStimuli   0.031 0.000     NA     NA
## 87                Age ~~  LocationLatitude   0.087 0.000     NA     NA
## 88                Age ~~ LocationLongitude   0.024 0.000     NA     NA
## 89                Age ~~         t1Stimuli   0.127 0.000     NA     NA
## 90                Age ~~         t2Stimuli   0.085 0.000     NA     NA
## 91                Age ~~         Threshold   0.044 0.000     NA     NA
## 92                Age ~~              t7_2   0.076 0.000     NA     NA
## 93                Age ~~    AnnualExpenses  -0.153 0.000     NA     NA
## 94             Gender ~~            Gender   1.000 0.000     NA     NA
## 95             Gender ~~     ClicksStimuli  -0.035 0.000     NA     NA
## 96             Gender ~~  LocationLatitude  -0.066 0.000     NA     NA
## 97             Gender ~~ LocationLongitude   0.065 0.000     NA     NA
## 98             Gender ~~         t1Stimuli  -0.017 0.000     NA     NA
## 99             Gender ~~         t2Stimuli  -0.081 0.000     NA     NA
## 100            Gender ~~         Threshold  -0.137 0.000     NA     NA
## 101            Gender ~~              t7_2   0.018 0.000     NA     NA
## 102            Gender ~~    AnnualExpenses  -0.064 0.000     NA     NA
## 103     ClicksStimuli ~~     ClicksStimuli   1.000 0.000     NA     NA
## 104     ClicksStimuli ~~  LocationLatitude   0.032 0.000     NA     NA
## 105     ClicksStimuli ~~ LocationLongitude   0.006 0.000     NA     NA
## 106     ClicksStimuli ~~         t1Stimuli   0.177 0.000     NA     NA
## 107     ClicksStimuli ~~         t2Stimuli   0.660 0.000     NA     NA
## 108     ClicksStimuli ~~         Threshold   0.145 0.000     NA     NA
## 109     ClicksStimuli ~~              t7_2  -0.102 0.000     NA     NA
## 110     ClicksStimuli ~~    AnnualExpenses   0.052 0.000     NA     NA
## 111  LocationLatitude ~~  LocationLatitude   1.000 0.000     NA     NA
## 112  LocationLatitude ~~ LocationLongitude  -0.246 0.000     NA     NA
## 113  LocationLatitude ~~         t1Stimuli   0.096 0.000     NA     NA
## 114  LocationLatitude ~~         t2Stimuli   0.041 0.000     NA     NA
## 115  LocationLatitude ~~         Threshold   0.161 0.000     NA     NA
## 116  LocationLatitude ~~              t7_2   0.055 0.000     NA     NA
## 117  LocationLatitude ~~    AnnualExpenses  -0.045 0.000     NA     NA
## 118 LocationLongitude ~~ LocationLongitude   1.000 0.000     NA     NA
## 119 LocationLongitude ~~         t1Stimuli  -0.047 0.000     NA     NA
## 120 LocationLongitude ~~         t2Stimuli   0.001 0.000     NA     NA
## 121 LocationLongitude ~~         Threshold   0.021 0.000     NA     NA
## 122 LocationLongitude ~~              t7_2  -0.061 0.000     NA     NA
## 123 LocationLongitude ~~    AnnualExpenses  -0.075 0.000     NA     NA
## 124         t1Stimuli ~~         t1Stimuli   1.000 0.000     NA     NA
## 125         t1Stimuli ~~         t2Stimuli   0.302 0.000     NA     NA
## 126         t1Stimuli ~~         Threshold   0.286 0.000     NA     NA
## 127         t1Stimuli ~~              t7_2   0.335 0.000     NA     NA
## 128         t1Stimuli ~~    AnnualExpenses   0.070 0.000     NA     NA
## 129         t2Stimuli ~~         t2Stimuli   1.000 0.000     NA     NA
## 130         t2Stimuli ~~         Threshold   0.195 0.000     NA     NA
## 131         t2Stimuli ~~              t7_2   0.043 0.000     NA     NA
## 132         t2Stimuli ~~    AnnualExpenses   0.100 0.000     NA     NA
## 133         Threshold ~~         Threshold   1.000 0.000     NA     NA
## 134         Threshold ~~              t7_2   0.429 0.000     NA     NA
## 135         Threshold ~~    AnnualExpenses   0.189 0.000     NA     NA
## 136              t7_2 ~~              t7_2   1.000 0.000     NA     NA
## 137              t7_2 ~~    AnnualExpenses   0.074 0.000     NA     NA
## 138    AnnualExpenses ~~    AnnualExpenses   1.000 0.000     NA     NA
semPaths(fit,"std",edge.label.cex=1,curvePivot=T,covAtResiduals=F,residuals=F,fade=F)

inspect(fit,"theta")
##                   FrUSMP   Qualty   PrchIn   WOM      Algnmn   Risk    
## FreqUseSMP           4.046                                             
## Quality              0.000    1.261                                    
## PurchInt             0.000    0.000    2.844                           
## WOM                  0.000    0.000    1.798    2.665                  
## Alignment            0.000    0.000    0.000    0.000    0.250         
## Risk                 0.000    0.000    0.000    0.000    0.070    4.309
## PageSubmitStimuli    0.000    0.000    0.000    0.000    0.256    0.878
## Age                  0.000    0.000    0.000    0.000    0.603    1.984
## Gender               0.000    0.000    0.000    0.000    0.005   -0.138
## ClicksStimuli        0.000    0.000    0.000    0.000   -0.005   -0.168
## LocationLatitude     0.000    0.000    0.000    0.000    0.171   -2.897
## LocationLongitude    0.000    0.000    0.000    0.000   -0.452    9.701
## t1Stimuli            0.000    0.000    0.000    0.000   -0.127    0.223
## t2Stimuli            0.000    0.000    0.000    0.000    0.600    2.022
## Threshold            0.000    0.000    0.000    0.000   -2.417   -4.088
## t7_2                 0.000    0.000    0.000    0.000    0.352    0.310
## AnnualExpenses       0.000    0.000    0.000    0.000   -0.046    3.070
##                   PgSbmS   Age      Gender   ClcksS   LctnLt   LctnLn  
## FreqUseSMP                                                             
## Quality                                                                
## PurchInt                                                               
## WOM                                                                    
## Alignment                                                              
## Risk                                                                   
## PageSubmitStimuli  283.059                                             
## Age                 21.810   90.726                                    
## Gender              -0.238   -0.612    0.249                           
## ClicksStimuli       -0.351    0.286   -0.017    0.967                  
## LocationLatitude     6.341    4.694   -0.186    0.179   32.458         
## LocationLongitude   -5.957    6.611    0.942    0.157  -40.398  832.226
## t1Stimuli           22.145    6.225   -0.043    0.892    2.813   -7.020
## t2Stimuli           64.921   23.753   -1.178   18.924    6.892    0.789
## Threshold           58.746   26.159   -4.262    8.927   57.577   38.158
## t7_2                54.392    7.923    0.098   -1.105    3.445  -19.287
## AnnualExpenses     -20.319  -28.206   -0.614    0.993   -4.972  -41.598
##                   t1Stml   t2Stml   Thrshl   t7_2     AnnlEx  
## FreqUseSMP                                                    
## Quality                                                       
## PurchInt                                                      
## WOM                                                           
## Alignment                                                     
## Risk                                                          
## PageSubmitStimuli                                             
## Age                                                           
## Gender                                                        
## ClicksStimuli                                                 
## LocationLatitude                                              
## LocationLongitude                                             
## t1Stimuli           26.367                                    
## t2Stimuli           45.235  851.397                           
## Threshold           91.959  356.721 3916.373                  
## t7_2                18.861   13.832  294.176  120.301         
## AnnualExpenses       6.968   56.306  229.003   15.733  374.215
## Thus, the most parsimonious model is the following:

Model<-'FreqUseSMP ~ a*Alignment
         Quality ~ b*FreqUseSMP + c*Alignment
PurchInt ~ d*Quality + e*Alignment
WOM ~ f*Quality + g*Alignment
IndirectOnQuality:=a*b
DirectOnQuality:=c
TotalOnQuality:=c+a*b
IndirectOnPurchInt:=d*c
DirectOnPurchInt:=e
TotalOnPurchInt:=e+d*c
IndirectOnWOM:=f*c
DirectOnWOM:=g
TotalOnWOM:=g+f*c'
fit<-sem(Model,data=MainStudy)
fitMeasures(fit)
##                npar                fmin               chisq 
##              12.000               0.013              14.830 
##                  df              pvalue      baseline.chisq 
##               2.000               0.001             639.817 
##         baseline.df     baseline.pvalue                 cfi 
##              10.000               0.000               0.980 
##                 tli                nnfi                 rfi 
##               0.898               0.898               0.884 
##                 nfi                pnfi                 ifi 
##               0.977               0.195               0.980 
##                 rni                logl   unrestricted.logl 
##               0.980           -4695.620           -4688.205 
##                 aic                 bic              ntotal 
##            9415.241            9467.154             559.000 
##                bic2               rmsea      rmsea.ci.lower 
##            9429.061               0.107               0.061 
##      rmsea.ci.upper        rmsea.pvalue                 rmr 
##               0.161               0.024               0.180 
##          rmr_nomean                srmr        srmr_bentler 
##               0.180               0.040               0.040 
## srmr_bentler_nomean         srmr_bollen  srmr_bollen_nomean 
##               0.040               0.040               0.040 
##          srmr_mplus   srmr_mplus_nomean               cn_05 
##               0.040               0.040             226.845 
##               cn_01                 gfi                agfi 
##             348.178               0.987               0.903 
##                pgfi                 mfi                ecvi 
##               0.132               0.989               0.069
summary(fit,standardized=T,fit.measures=T,rsq=T)
## lavaan (0.5-22) converged normally after  38 iterations
## 
##   Number of observations                           559
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic               14.830
##   Degrees of freedom                                 2
##   P-value (Chi-square)                           0.001
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic              639.817
##   Degrees of freedom                                10
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.980
##   Tucker-Lewis Index (TLI)                       0.898
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)              -4695.620
##   Loglikelihood unrestricted model (H1)      -4688.205
## 
##   Number of free parameters                         12
##   Akaike (AIC)                                9415.241
##   Bayesian (BIC)                              9467.154
##   Sample-size adjusted Bayesian (BIC)         9429.061
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.107
##   90 Percent Confidence Interval          0.061  0.161
##   P-value RMSEA <= 0.05                          0.024
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.040
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   FreqUseSMP ~                                                          
##     Alignment  (a)    0.895    0.190    4.719    0.000    0.895    0.196
##   Quality ~                                                             
##     FreqUseSMP (b)    0.078    0.025    3.083    0.002    0.078    0.130
##     Alignment  (c)    0.362    0.116    3.118    0.002    0.362    0.132
##   PurchInt ~                                                            
##     Quality    (d)    0.631    0.054   11.711    0.000    0.631    0.446
##     Alignment  (e)    0.175    0.148    1.184    0.237    0.175    0.045
##   WOM ~                                                                 
##     Quality    (f)    0.906    0.053   17.201    0.000    0.906    0.589
##     Alignment  (g)    0.245    0.145    1.695    0.090    0.245    0.058
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##  .PurchInt ~~                                                           
##    .WOM               1.601    0.141   11.357    0.000    1.601    0.548
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .FreqUseSMP        5.029    0.301   16.718    0.000    5.029    0.962
##    .Quality           1.810    0.108   16.718    0.000    1.810    0.959
##    .PurchInt          2.990    0.179   16.718    0.000    2.990    0.792
##    .WOM               2.857    0.171   16.718    0.000    2.857    0.639
## 
## R-Square:
##                    Estimate
##     FreqUseSMP        0.038
##     Quality           0.041
##     PurchInt          0.208
##     WOM               0.361
## 
## Defined Parameters:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##     IndirectOnQlty    0.070    0.027    2.581    0.010    0.070    0.025
##     DirectOnQualty    0.362    0.116    3.118    0.002    0.362    0.132
##     TotalOnQuality    0.432    0.115    3.763    0.000    0.432    0.157
##     IndrctOnPrchIn    0.228    0.076    3.013    0.003    0.228    0.059
##     DirctOnPrchInt    0.175    0.148    1.184    0.237    0.175    0.045
##     TotalOnPrchInt    0.404    0.164    2.467    0.014    0.404    0.104
##     IndirectOnWOM     0.328    0.107    3.068    0.002    0.328    0.078
##     DirectOnWOM       0.245    0.145    1.695    0.090    0.245    0.058
##     TotalOnWOM        0.573    0.178    3.229    0.001    0.573    0.136
coef(fit)
##                      a                      b                      c 
##                  0.895                  0.078                  0.362 
##                      d                      e                      f 
##                  0.631                  0.175                  0.906 
##                      g FreqUseSMP~~FreqUseSMP       Quality~~Quality 
##                  0.245                  5.029                  1.810 
##     PurchInt~~PurchInt               WOM~~WOM          PurchInt~~WOM 
##                  2.990                  2.857                  1.601
standardizedSolution(fit)
##                   lhs op        rhs est.std    se      z pvalue
## 1          FreqUseSMP  ~  Alignment   0.196 0.040  4.858  0.000
## 2             Quality  ~ FreqUseSMP   0.130 0.042  3.108  0.002
## 3             Quality  ~  Alignment   0.132 0.042  3.157  0.002
## 4            PurchInt  ~    Quality   0.446 0.034 13.044  0.000
## 5            PurchInt  ~  Alignment   0.045 0.038  1.185  0.236
## 6                 WOM  ~    Quality   0.589 0.028 21.117  0.000
## 7                 WOM  ~  Alignment   0.058 0.034  1.698  0.089
## 8          FreqUseSMP ~~ FreqUseSMP   0.962 0.016 60.989  0.000
## 9             Quality ~~    Quality   0.959 0.016 58.592  0.000
## 10           PurchInt ~~   PurchInt   0.792 0.031 25.946  0.000
## 11                WOM ~~        WOM   0.639 0.032 19.684  0.000
## 12           PurchInt ~~        WOM   0.548 0.030 18.496  0.000
## 13          Alignment ~~  Alignment   1.000 0.000     NA     NA
## 14  IndirectOnQuality :=        a*b   0.025 0.010  2.606  0.009
## 15    DirectOnQuality :=          c   0.132 0.042  3.157  0.002
## 16     TotalOnQuality :=      c+a*b   0.157 0.041  3.834  0.000
## 17 IndirectOnPurchInt :=        d*c   0.059 0.019  3.057  0.002
## 18   DirectOnPurchInt :=          e   0.045 0.038  1.185  0.236
## 19    TotalOnPurchInt :=      e+d*c   0.104 0.042  2.487  0.013
## 20      IndirectOnWOM :=        f*c   0.078 0.025  3.119  0.002
## 21        DirectOnWOM :=          g   0.058 0.034  1.698  0.089
## 22         TotalOnWOM :=      g+f*c   0.136 0.041  3.274  0.001
semPaths(fit,"std",edge.label.cex=1,curvePivot=T,covAtResiduals=F,residuals=F,fade=F)

inspect(fit,"theta")
##            FrUSMP Qualty PrchIn WOM   Algnmn
## FreqUseSMP 5.029                            
## Quality    0.000  1.810                     
## PurchInt   0.000  0.000  2.990              
## WOM        0.000  0.000  1.601  2.857       
## Alignment  0.000  0.000  0.000  0.000 0.250